Binomial with given mean and variance (or their sum and product): find n, p and a probability
This type of question, asked 6 times: 25 Jul 2022, 26 Jul 2022, 27 Jul 2022, 29 Jul 2022, 1 Feb 2023, 13 Apr 2023. All 7 questions below, oldest first.
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Question 1
25 Jul 2022
76If the sum and the product of mean and variance of a binomial distribution are 24 and 128 respectively, then the probability of one or two successes is:Tap an option to check your answer.
Question 2
26 Jul 2022
76The mean and variance of a binomial distribution are and respectively. If , then or 5 is equal to:Tap an option to check your answer.
Question 3
26 Jul 2022
168Let be a binomially distributed random variable with mean 4 and variance . Then is equal toTap an option to check your answer.
Question 4
27 Jul 2022
166Let have a binomial distribution such that the sum and the product of the mean and variance of are 24 and 128 respectively. If , then is equal toTap an option to check your answer.
Question 5
29 Jul 2022
171The sum and product of the mean and variance of a binomial distribution are 82.5 and 1350 respectively. Then the number of trials in the binomial distribution is:Question 6
1 Feb 2023
66In a binomial distribution , the sum and the product of the mean and the variance are 5 and 6 respectively, then is equal toTap an option to check your answer.
Question 7
13 Apr 2023
164The random variable follows binomial distribution for which the difference of the mean and the variance is 1 . If , then is equal toTap an option to check your answer.