According to a study by Dr. John McDougall of his live-in weight

Tyra 2020-12-01 Answered

According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Give the distribution of X. Enter an exact number as an integer, fraction, or decimal.f(x)= where X.μ=σ=. Find the probability that the individual lost more than 8 pounds in a month.Suppose it is known that the individual lost more than 9 pounds in a month. Find the probability that he lost less than 13 pounds in the month.

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Expert Answer

unett
Answered 2020-12-02 Author has 119 answers

Step 1 Given, According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. Step 2 The random variable X= Weight loss in pounds Given a=6,b=15
XU(a,b)XU(6,15)
f(x)=1ba
=1156
=19
μ=a+b2
=(6+152)
=212
=10.5
σ=ba12
=15612
=912
=2.5980 Step 3 The probability that the individual lost more than 8 pounds in a month: P(x>8)=bxba
=158156
=0.7778 (rounded off to 4 decimals) Step 4 Suppose it is known that the individual lost more than 9 pounds in a month. The probability that he lost less than 13 pounds in the month: P(x<13μdx>9)=P9<x<13P(x>9)
x2x1ba bxba
=139156159156
=4969
=23
=0.6667 (rounded off to 4 decimals)

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