a grocery stoe Calculate P350). Round your final anwer to four decimal places) Q

Question

a grocery stoe Calculate P350). Round your final anwer to four decimal places) QUESTION According to one study, the amount of time a counstomer spends shopping in a grocery store Calculate the probability that a customer spends at least 50 minutes shopping. Round your inal anwer to four decimal places ) QUESTION 7 Choose one The anount of Sme that a college freshman takes to complete this test is a normal random varable The amount of dime hat a college freshman takes to complate this Serst is a binomial andom variable QUESTION complete his test

Explanation / Answer

NORMAL DISTRIBUTION
the PDF of normal distribution is = 1/ * 2 * e ^ -(x-u)^2/ 2^2
standard normal distribution is a normal distribution with a,
mean of 0,
standard deviation of 1
equation of the normal curve is ( Z )= x - u / sd ~ N(0,1)
mean ( u ) = 45
standard Deviation ( sd )= 12
5.
To find P(a < = Z < = b) = F(b) - F(a)
P(X < 30) = (30-45)/12
= -15/12 = -1.25
= P ( Z <-1.25) From Standard Normal Table
= 0.1056
P(X < 50) = (50-45)/12
= 5/12 = 0.4167
= P ( Z <0.4167) From Standard Normal Table
= 0.6615
P(30 < X < 50) = 0.6615-0.1056 = 0.5559
6.
P(X < 50) = (50-45)/12
= 5/12= 0.4167
= P ( Z <0.4167) From Standard Normal Table
= 0.6615
P(X > = 50) = (1 - P(X < 50)
= 1 - 0.6615 = 0.3385
7.
Average amount of time it takes a college freshmen to complete the mason reasoning test is 24.6 minutes,and standard deviation is 5.8 minutes
Amountof time it takes a college freshmen to complete the mason reasoning test is normal random variable
8.
P(X < 15) = (15-24.6)/5.8
= -9.6/5.8= -1.6552
= P ( Z <-1.6552) From Standard Normal Table
= 0.0489

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