This question related to Statistical Methods. Please solve it and make it clear

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This question related to Statistical Methods. Please solve it and make it clear to understand. Thanks.
7, A sample of n = 10 automobiles was FSSFSS a. What is the value of the sample proportion of successes x/n? visible damage byelected, and each was subjected to a 5-mph crash test.Denoting a car F, results were as follows: S S S F was subjected to a b. Replace each S with a 1 and each F with a 0. Then calculate z for this numerically coded sample. How does x compare to x/n? Suppose it is decided to include 15 more cars in the experiment. How many of these would have to be S's so that /n 80 for the entire sample of 25 cars? c.

Explanation / Answer

a) In the 10 samples, there are 7 success and 3 failures

Sample proportion of success = number of success/total number of samples = 7/10 = 0.70

b)

Since we denote S=1 and F=0

Sum of all x's = 1 + 1 + 1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 = 7

x's (mean) = sum of all x's/number of observations = 7/10 = 0.7

This value is same as x/n

c)

Total number of cars = 10 cars (from old experiment) + 15 (more cars ) = 25

For x/n = 0.80

x = 25(0.80) = 20

So the sample of 25 cars, must have 20S and 5F

Earlier sample has 7 success and 3 failures

number of S in the next 15 car lots = 20 - 7 = 13

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