s Calendar Gradebook 18> Assessment Due in 7 hours, 25 minutes. Due Fri 07/27/20

Question

s Calendar Gradebook 18> Assessment Due in 7 hours, 25 minutes. Due Fri 07/27/2018 10:59 pm Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standared deviation 6 inches. (a) What is the probability that a randomly chosen 10 year old is shorter than 46 inches? (b) What is the probability that a randomly chosen 10 year old is between 60 and 66 inches? (c) If the tallest 15% of the class is considered "rery tall what is the height cutoff for very tall"? (d) The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What percent of 10 year olds cannot go on this ride? Points possible: 10 This is attempt 1 of 2

Explanation / Answer

a)

P(X<46)=P(Z<(46-55)/6)=P(Z<-1.5)=0.0668

b)

P(60<X<66)=P(0.83<Z<1.83)=0.9664-0.7967=0.1697 ( please try 0.1696 or 0.1690 if this comes wrong due to rounding and revert)

c)

for top 15% ; crtiical z =1.04

hence corresponding height=55+1.04*6=61.24

d)

P(X<54)=P(Z<-0.17)=43.25% ( please try 56.75% if this comes wron and revert)

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