Question 8 of 12 (2 points) View problem in a pop-up 6.3 Section Exercise 18 (ca

Question

Question 8 of 12 (2 points) View problem in a pop-up 6.3 Section Exercise 18 (ca Approximately 77% of freshmen entering public high schools in the United States in 2005 graduated with their class in 2009. A random sample of 133 freshmen is chosen. Round your answers to four decimal places as needed. Part 1 Find the mean The mean ^ is | . 77 1. Part 2 Find the standard deviation ^. The standard deviation ^ is) . 0365 Part 3 out of 6 Find the probability that less than 80% of freshmen in the sample graduated. The probability that less than 80% of freshmen in the sample graduated is

Explanation / Answer

Solution:- Given that mean = 0.77

stadard deviation = sqrt(0.77*0.23/133) = 0.0365

Part 3

P(X < 0.80 ) = P(Z < (0.80 - 0.77)/0.0365) There Fore Z = (X = mu)/sd

= P(Z < 0.8219)  

= 0.7939

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