Accorading to NenGo Inc, the mean weight of Puerto Rican males is 190 pounds wit

Question

Accorading to NenGo Inc, the mean weight of Puerto Rican males is 190 pounds with a standard deviati 3 pounds Assume it follows the normal distribution. (10 points per question) a What is the probability of selecting a Puerto Rican male that weights exactly 200 pounds? Whatsthe probabilty of selecting a Puerto Rican male that weights more than 200 pounds c What is the probability of selecting a Puerto Rican male that weighs less than 200 pounds? d What is the probability of selecting a Puerto Rican male that weighs less than 180 pounds? e What is the probability of selecting a Puerto Rican male that weight between 180 and 220 po What is the weight that 95% of Puerto Rican males exceed? What is the weight that only 10% of Puerto Rican males weigh less? What is the weight that 50% of Puerto Rican males exceed? g. h. Pag

Explanation / Answer

here mean   =190

and std deviation =7.3

a) as normal distribution is a continuous distribution; therefore point probability is 0. cause area under a point on a continuous curve is equal to 0.

therefore P(X=200) =0

b)

c)

d)

e)

f)

for bottom 5% value of z =-1.645

hence corresponding weight =mean +z*std deviation =190-1.645*7.3 =177.99 ~ 178

g)

for bottom 10% value of z =-1.28

hence corresponding weight =mean +z*std deviation =190-1.28*7.3 =180.64

h)for 50% values fall at mean of distribution

therfore corresponding weight =190

for normal distribution zscore =(X-)/

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