Question

Homework 2 UG Spring 2019 Session 1 Hi, Zachary Sign Ou Homework MAT305-02 UG Spring 2019 Session 1 Homework: Week 4 Homework Score: 0 of 1 pt 6.2.5 2 of 10 (1 complete) HW Score: 8% Questi Given a normal distribution with μ = 100 and σ = 10, complete parts (a) through (d). EEB Click here to view page 1 of the cumulative standardized normal distribution table. EEB Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that X>70? The probability that X > 70 is (Round to four decimal places as needed.) Ernter your answerin he answer box and then dick checek Answeri parts:-: remaining heck Aiswer

Answer 1

Using normal distribution table the probability for X> 70 can be calculated, by finding the Z score at X= 70 .

And the area to the right at X=70 will be the probability . Now by Z score formula Z score at X=70

$Z=\frac{X-\mu}{\sigma}=\frac{70-100}{10}=-3$

By table shown below

P(X>70)=P(Z>-3)=0.9987

Since the table only show the value to the left of Z score hence to get the value for the right area the given value is subtracted from 1.