Reference no: EM132857411
Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches.
What is the probability that a randomly chosen 10-year-old is shorter than 48 inches?
a. 0.1210
b. 0.1588
c. 0.2457
d. 0.3715
What is the probability that a randomly chosen 10-year-old is between 60 and 65 inches?
0.1145
0.1558
0.1688
0.1758
If the tallest 10% of the class is considered "very tall", what is the height cutoff for "very tall"?
59.68 inches
63.58 inches
62.68 inches
65.88 inches
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?
a. 0.3988
b. 0.4011
c. 0.4122
d. 0.4325
Suppose there are four 10-year-olds. What is the chance that at least two of them will be able to ride Batman the Ride?
a. 0.7099
b. 0.7258
c. 0.7814
d. 0.8856
Suppose you work at the park to help them better understand their customers' demographics, and you are counting people as they enter the park. What is the chance that the first 10-year-old you see who can ride Batman the Ride is the 3rd 10-year-old who enters the park?
a. 0.1062
b. 0.1477
c. 0.1698
d. 0.2247
What is the chance that the fifth 10-year-old you see who can ride Batman the Ride is the 12th 10-year-old who enters the park?
a. 0.0448
b. 0.0550
c. 0.0654
d. 0.7114
What fraction of 10-year-olds are taller than 76 inches?
a. 0.0002
b. 0.0008
c. 0.0013
d. 0.0055
If there are 2,000 10-year-olds entering Six Flags Magic Mountain in a single day, then compute the expected number of 10-year-olds who are at least 76 inches tall. (You may assume the heights of the 10-year-olds are independent.)
a. 0.004
b. 0.4
c. 40
d. 400