Question
1. IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X =
1. IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. LetX= IQ of an individual.
MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization.
120
125
130
135
140
145
150
2. 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 six 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.
P(7 <x< 13 |x> 9) = __________.
3/5
5/9
2/3
2/5
none of the other
3. X= the number of days per week that 100 clients use a particular exercise facility.
x | Frequency |
---|---|
0 | 3 |
1 | 12 |
2 | 33 |
3 | 28 |
4 | 11 |
5 | 9 |
6 | 4 |
The 80thpercentile is _____
5
4
3
80
4. Suppose that a category of world-class runners is known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 49 of the races. Let \overline{X}X be the average of the 49 races.
Find the 80thpercentile for the average of these 49 marathons.
199.47
170.84
150.89
146.68
130.78
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