Скачать или смотреть Normal Distribution | Chapter 10 | Lecture # 9 | Statistics | Muhammad Usman | In Urdu Hindi

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Q 3(a): The length of life for a washing machine is approximately normally distributed, with a mean of 3.5 years and a standard deviation of 1.0 years. If this type of washing machine is guaranteed for 12 months, what percentage of the sales will require replacement?

(b) Assume that the X required for a runner to run a mile is a normal random variable with parameters μ = 4minutes 1 second and σ =2 seconds. What is the probability that this athlete will run mile.
(i) in less than 4 minutes
(ii) in more than 3 minutes 55 seconds

(c) Assume that the distance X that a particular athlete will be able to put a shot (on his first try) is normally distributed with parameters μ = 50 feet and σ = 5 feet. Compute the probability that he tosses it not less than 55 feet and the probability that his toss travels between 50 feet and 60 feet.

(d) If X is normally distributed with parameters μ and σ, find the area under the curve between.
(i) (μ - σ) and (μ + σ)
(ii) μ and (μ + 2σ)

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