NameMistur Mistura Statistics Midterm Exam C pand your Do your work neatly in th

Question

NameMistur Mistura Statistics Midterm Exam C pand your Do your work neatly in the blue book. You are allowed 3 sheets of blank scrap you are finished your exam, return all papers, the test paper, your scrap pap book. Talking to another student will cancel your exam. No sharing of calculators n blue allowed 3 sheets of blank scrap paper. When our blue rs and y or anything. It was discovered that 90% of CUNY college students require some form o aid. In a group of 17 students, find the probability that: 1) form of financial Question Points Answer a) 14 students require some form of financial aid. b) Less than 16require financial aid. c) Between 13 and 15 (inclusive) require financial aid. 2) For the data listed on the last line. Questions Points a)Make a frequency diagram with 6 classes b) Make a histogram c) Make a box-and-whisker diagram (show outliers if any) 8 DATA: 20 25 35 41 42 43 44 45 46 47 48 49 so so 51 52 5354SS 565758 5960678831901 3) The heights of men at a gym are normally distributed with 70in and -in Question Answer Points a) What percent of these men are between 65 &72 tall. (inclusive) b) Greater than 73" tall. 7 c) Less than 65 tall. Number (4) is on the next page.

Explanation / Answer

Soluition:-

1)

p = 0.90, n = 17

a) The probability that 14 students require some form of financial aid is 0.1556.

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x = 14) = 0.1556.

b) The probability that less than 16 require some form of financial aid is 0.315.

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x = 16) = 0.315

c) The probability that between 13 and 15 require financial aid is 0.3561.

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(13 < x < 15) = P(x = 13) + P(x = 14) + P(x = 15)

P(13 < x < 15) = 0.0605 + 0.0156 + 0.280

P(13 < x < 15) = 0.3561

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