What is the probability that the 45th student selected will be the 38th student

Question

What is the probability that the 45th student selected will be the 38th student to select yes ?

Cannot understand how to figure out the last part .

Problem 6. ANSWERS ONLY CHECKED ANSWERS NOT RECORDED (5 points) A recent survey of post-secondary education students in Canada revealed that 75% know what type of job they want, when they graduate. You are to randomly pick 32 post-secondary education students across the country, and ask each the following question Have you selected a particular career path? You have defined the random variable X to represent the number, out of 32 post-secondary students chosen, who responded YES (a) What is the probability that between 23 and 24 of these students will respond YES? P(23 S X 24)0.30420 B(use five decimals in your answer) (b) How many of the 32 post-secondary students would you expect to respond YES? Find the standard deviation as well. E(X)-#x = 24.00 SD(X)-Ox 245 (c) If you continued to select additional students, what is the probability that the 45 th student selected will be the (use two decimals in your answer) (use two decimals in your answer) 38 th student to respond YES? ""(use five decimals in your answer)

Explanation / Answer

c)

Out of the first 44 students exactly 37 should say yes

P = C(44,37)*(0.75^37)*(0.25^7) = 0.0557543

P(45th entry is 38th YES) = 0.0557543*0.75 = 0.04182

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