Q26.If the records show that, the probability for a student to geta grade B this course is p, [use the answer of question 19above as the probability, p, here], what is the probabilitythat exactly 4 students out of 16 will have a grade B for thecourse? {Hint: use binomial distribution} A = 11B = 2C= 2D = 0F = 1105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 98, 95, 7219) What is the probability that a student received grade B,i.e., P(B) is? 0.125

Name: Q26.If the records show that, the probability for a student to geta g
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Q26.If the records show that, the probability for a student to geta grade B this course is p, [use the answer of question 19above as the probability, p, here], what is the probabilitythat exactly 4 students out of 16 will have a grade B for thecours

Given Information: Probability for a student to get grade B is p=0.125 Number of students (n) = 16 To find the probability that exactly 4 out of 16 students will have a grade B. Let X be a random variable which denotes the number of students who get grade B and X follows Binomial distribution with probability of success p=0.125 and number of trials n=16. Binomial Formula: PX=Cxnpx1-pn-xRequired probability is obtained as follows: PX=4=C416(0.125)41-0.12516-4=16!4!16-4!×0.000244140625×0.201417238=1820×0.00004917413037=0.08949691727≈0.0895 Therefore, probability that exactly 4 out of 16 students will have a grade B is 0.0895