# Statistics

*label*Mathematics

*timer*Asked: Jun 24th, 2018

*account_balance_wallet*$15

**Question description**

Please see file attached. I will send the data. I need it within 1 hour. Please help.................

## Tutor Answer

Attached.

Homework 2 Due Jun 22

1. Each child born to a particular set of parents has a probability 0.25 of having blood type

O. If these parents have 3 children. Define the variable X to be the number of blood type

O in the children.

a) Find the probability model (sample space and probability) for the variable.

X

Pr(X)

0

0.4219

1

0.4218

2

0.1407

3

0.0156

Pr(0) = (30) × 0.753 × 0.250 = 0.4219

Pr(1) = (31) × 0.752 × 0.251 = 0.4218

Pr(2) = (32) × 0.751 × 0.252 = 0.1407

Pr(3) = (33) × 0.750 × 0.253 = 0.0156

b) What is probability that at least 1 child have blood type O.

Pr(x ≥ 1) = 1 – Pr(0) = 1 – 0.4219 = 0.5781

c) What is the mean and standard deviation of X?

Mean = np = 0.25*3 = 0.75

Var(X) = np(1 - p) = 3*0.25*0.75 = 0.5625

SD(X) = (Var(X))0.5 = 0.75

2. If we define X to be the number of bad checks received on a randomly selected day by a

store, X has the respective probabilities as the following.

X

0

Pr(X) 0.05

1

0.1

2

0.2

3

0.4

4

0.15

5

0.1

a). Find the population mean and variance of X.

Mean = 0*P(0) + 1*P(1) + 2*P(2) + … + 5*P(5) = 0 + 0.1 + 0.4 +1.2 + 0.6 + 0.5 = 2.8

Var(X) = (0-2.8...

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