If the population proportion p = 0.63, what is the probability of getting correct answers on less than 60% of the questions?

Complete question:

An exam consists of 50 multiple choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.63 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50.

If the population proportion p = 0.63, what is the probability of getting correct answers on less than 60% of the questions?

the probability of getting correct answers on less than 60% of the questions is 0.33

Step-by-step explanation:

Given;

number of samples, n = 50

population proportion, P = 0.63

For normal distribution;

np ≤ 60     and n(1-p) ≤ 60

(50 x 0.63) ≤ 60   and   (1-0.63) ≤ 60

31.5 ≤ 60    and 22.2 ≤ 60

The condition is satisfied, then mean of the distribution is given by;

x = p =  0.63

The standard deviation is given by;

For a  correct answers on less than 60% of the questions

Upper boundary = 0.6

lower boundary = 0

Thus, the probability is given by;

P (p' < 0.6) = 0.33

Therefore, the probability of getting correct answers on less than 60% of the questions is 0.33

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.