A person\'s blood glucose level and diabetes are closely related. 12-hour fast,

Question

A person's blood glucose level and diabetes are closely related. 12-hour fast, the random variable x will have a distribution that is approxi Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a normal with mean = 82 and standard deviation -21-Note: After 50 years of age, both the mean and standard devlation tend to increase. For an adult (under so) after a 12-hour fast, find the following probabilities. (Round (a) x is more than 60 x is less than 110 c) x is between 60 and 110 d) x is greater than 125 (borderline diabetes starts at 125) Need Help? PautI -0.83 points BBUnderStat 12 63 029 My Nodes Ask Your T 12-volt car batteries. After many years of product testing, the company knows that the average life of a Quick Start battery is normally distributed, with mean of 46.0 months and a standard deviation of 71 months (a) it quick Start quarantees a full rfund on any battery that fails within the 36-month period after purchase, what percentage of its batteries will the (Round your answer to two decimal places.) (b) If Quick Start does not want to make refunds for more than 12% of its batteries under the full-refund guarantee policy, for how long should the batteries (to the nearest month)? months /2

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

2) a) Mean = 46

SD = 7.1

We need to find P(X < 36)

z = (36 - 46)/7.1

z = - 1.41

P = 0.08

b) z for p = 0.12 on left side = - 1.17

(x - 46)/7.1 = - 1.17

x = 37.693 or

x = 38 months

c) -z to z graph:

A option

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