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om @ ص ۸ : ۵۳ 4G STC II. х 'HOMEWORK WEEK 7.docx 000 Homework week 7 MTH 103 اسم الطالب: imelal olsun.. | žew a mi lados 1- If we have the sample of 20 families who used assistance programs Number of Programs frequency a. What is the probability that a family picked at random will be one who used two or fewer assistance programs? b. What is the probability that a randomly selected family will be one who used fewer than four programs c. What is the probability that a randomly selected family used five or more programs? d. What is the probability that a randomly selected family is one who used between three and five programs, inclusive? e. What are the mean, variance, and standard deviation of the distribution?

Answer 1

A) no. Of family who used 2 assistance program is 4 while fewer than 2 program is 7

So total family who choosen either 2 or fewer program are 2+7 = 9 out of total 20 family

So probabilty = 7/20= 0.35 or 35%

B) probabilty for family using fewer than 4 program are (7+4+6) /20

So probabilty= 17/20= 0.85= 85%

C) there is no any family who are using 5 or than 5 program

So probabilty will be 0

D) probability of family using 3 or 5 program= (6+3)/20=9/20= 0.45= 45%

E) mean= 20/4= 5

Variance= summation of ( no. of family- mean)²/(sample size-1)

={ (7-5)². + (4-5)² + (6-5)² + (3-5)²}/(20-1)

= 4+(-1)+ 1+(-4)/20-1 =0

Standard deviation = √variance= √0 =0

Hope it's clear..thanks