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Which of the following is not true concerning discrete probability distribution? The sum of all probabilities is 1. The distribution may be displayed using a probability histogram_ The standard deviation of the distribution is between 1 and 1. The probability of any specific value is between 0 and 1, inclusive: The mean of the distribution is between the smallest and largest value of the discrete random variable:
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Hello everyone today. We have question according to the question even is find out which of the following is not real. For canceling discrete is three probability probability distribution. Now we can say we have given the following options and which of the option is that correct? We can tell about this weekend then the first option is the probability of the anti specific values between the zero and the one is inclusive. Then we can say in this is we can say this is the less than one and greater than zero. This is the inclusive case. But we tell about it. The discrete probability distribution, it is not the discrete probability distribution. Then we can see the option is the wrong answer. Now we go to the second option. The mean of the distribution is between the smallest and the largest value. Then this season also is not always to statement which is the sometimes sometimes this is always you can say the meal distribution is between the smallest. They can tell about the discrete probability distribution. Then we go to the third option then for the distribution distribution option is incorrect. Now we go to the third option, we can not at the standard division. We can then know that the standard aviation ballets formalizing equals the square root of variants and we know that the variance and under the square root they can say this is always the positive part and we get the output is also positive. So we can say that medication rains is always greater than zero because of this, the positive case and we can see this is that also equals to zero if case in case under the square root of zero to make it to get a zero value, but it is always positive. Always. Was it him? What? In the third option we can say the standard deviation is between the -12. It means it has contained the value of minus one minus 10.992 minus 0.1. These values are not comes from that. Then we can say this statement is not true. This statement is not true. Always. This statement is always the truth. So we can say the option sees the correct answer. Then we can say this is the correct answer of this question. Now we go to the fourth option. That distribution may be displayed using probability no, no, this is not a part of the concrete concerning the probability distribution some of the old abilities one, it is not always true In some cases the probability of the older one is not true. Then we can say the option C is the correct transfer of this question. I hope you listen to solution. Thank you
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Terms in this set (29)
C. For any event E, 0<P(E)<1, where P(E) is the probability of event E
which statement about probability is not true?
A.The probability of an impossible event is 0.
B.The probability of a certain event is 1.
C.For any event E, 0<P(E)<1, where P(E) is the probability of event E.
D. In a discrete probability model, the sum of the probabilities of all outcomes must equal 1
D. The complement of event E is the set of outcomes which are in the sample space but not in event E.
Which of the following statements correctly describes the complement of event E?
A. The complement of event E is the set of all outcomes in the sample space for the experiment.
B. The complement of event
E is the probability that event E does not occur.
C. The complement of event E is the set of all outcomes in event E.
D. The complement of event E is the set of outcomes which are in the sample space but not in event E
C. 0
Suppose two events E and F are disjoint. What is P(E and F)?
A. 1
B. P(E) x P(F)
C. 0
D. This cannot be determined
B. No because the probability of smoking is different for people who earn over $75000 per year, the events are not independent
The probability that a randomly selected adult in a particular community is a smoker is 20%. The probability that a randomly selected adult in the community is a smoker, given that the adult earns more than $75,000 per year, is 10%. Are the events "is a smoker" and "earns more than $75,000 per year" independent? Explain.
A. 1- (0.997)^1000
Suppose the probability that a randomly selected man, aged 55-59, will die of cancer during the course of the year is 300/100,000. How would you find the probability that at least 1 man out of 1,000 of this age will die of cancer during the course of the year?
Requirements for a discrete probability distribution
The sum of the probabilities must equal one. Each probability must be between zero and one inclusive.
Explain how to find the mean of a discrete random variable.
To find the mean of a random variable, multiply each value of the random variable by its probability and then add those products
Identify which statement about the mean of a discrete random variable is not true or state that they are all true
The mean must be a possible value of the random variable
What is the mean of a probability distribution?
The mean is the expected value of the random variable
Which of the following is not a criterion for the binomial distribution
The trials must be dependent
Yes because the 100 adults represent less than 5% of the US adult population the trials can be treated as independent
It is assumed that approximately 15% of adults in the U.S. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not?
n - x
the number of failures
nCx
the number of ways to get x successes in n trials
p^x
the probability of success raised to the number of successes
(1-p)^ n-x`
the probability of failure raised to the number of failures
As the probability of success increases, the probability distribution for a binomial variable becomes bell shaped
Which of the following statements is not true about binomial probability distributions?
The outcome of one trial does not affect the outcomes of the other trials
What does it mean to say that the trials in a binomial experiment are independent of each other?
= 0
The probability of observing a particular value of a continuous random variable is
A. The curve must be symmetric & centered at 0
Identify which of the following statements is not a requirement for a probability density function or state that they all are.
A. The curve must be symmetric & centered at 0
B. Every point on the curve must be on or above the x-axis
C. The Toal area under the curve must = 1
D. These are all requirements for a probability density curve
B. The graph must always be on or above the horizontal axis
Identify which of the following statements about the graph of a probability density function is true or state that they are both true or neither are true.
A. The graph must always be to. the right of the vertical axis
B. The graph must always be on or above the horizontal axis
C. Both of the first 2 statements are true
D. Neither of the statements are true
The curve becomes more spread out and the height decreases
Which of the following statements is true about a normal density curve as standard deviation increases
it is symmetric about its mean of 0 and has a standard deviation=1; the mean median & mode are all equal to 0; as the value of z increases, the graph approaches but never = 0
Properties of a standard normal curve
The mean is 0 and the standard deviation is 1
Which of the following is a property of the standard normal curve, but not necessarily a property of every normal curve?
Empirical (68-95-99.7) Rule
68% of all values fall within 1 standard deviation of the mean
95% within 2
99.7% within 3
5%
According to the Empirical Rule, 95% of the area under the normal curve is within two standard deviations of the mean. What percent of the area under the normal curve is more than two standard deviations from the mean?
32%
According to the Empirical Rule, 68% of the area under the normal curve is within one standard deviation of the mean. What percent of the area under the normal curve is more than one standard deviation from the mean?
16%
According to the Empirical Rule, 68% of the area under the normal curve is within one standard deviation of the mean. What percent of the area under the normal curve is more than one standard deviation above the mean?
No; since np<5, the normal distribution should not be used
A survey found that 5% of adults have not visited a dentist in the last five years. Suppose you ask 50 adults selected at random if they have visited a dentist in the last five years. Should a normal distribution be used to approximate the distribution of the random variable x that counts the number of adults who have not visited a dentist in the last five years?
the standard deviation of the distribution of the distribution of sample means
What does the standard error of the distribution of sample means estimate?
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