Question

36% of working mothers do not have enough money to cover their health insurance deductibles. You randomly select six working mothers and ask them whether they have enough money to cover their health insurance deductibles. The random variable represents the number of working mothers who do not have enough money to cover their health insurance deductibles. Complete parts (a) through (c) below. (a) Construct a binomial distribution using n=6 and p=0.36. х P(x) 0 1 2 3 4 5 6 ? Click to select your answer(s).

Answer 1

using excel.>addin>phstat>prob distribution>binomial

we have

Binomial Probabilities
Data
Sample size	6
Probability of an event of interest	0.36
Statistics
Mean	2.16
Variance	1.3824
Standard deviation	1.1758
Binomial Probabilities Table
	X	P(X)
	0	0.0687
	1	0.2319
	2	0.3261
	3	0.2446
	4	0.1032
	5	0.0232
	6	0.0022

a ) binomial distribution table

we have

X	P(X)
0	0.0687
1	0.2319
2	0.3261
3	0.2446
4	0.1032
5	0.0232
6	0.0022

b ) graph is give by option D

Distribution Plot Binomial, n=6, p=0.36 0.40 0.35 0.30 0.25 Probability 0.20 0.15 0.10 0.05 0.00 0 2 6 х

option B is true , it is symmetrical

c ) the value of x= 5 and x =6 would be unusual because their probabilities are less than 0.05