Concept explainers
(a)
To find: The number of body builders between 180 to 190 pounds.
(a)
Answer to Problem 11PT
Thenumber of bodybuilders are 645.
Explanation of Solution
Given:
The weight of the 1500 bodybuilders is
Calculation:
Consider the random variable that represents the weight of the body builder is X .
Then, the range of the events is,
Then,
Here Z is the standard normal distributions.
Then, consider the probability as,
On the calculator Ti83.
Press 2nd VARS and select the draw as shown in Figure 1
Figure 1
Press 1 to select the shade Norm and enter the lower and upper bound to determine the probability as shown I Figure 2
Figure 2
Then,
Thus, 43% of the bodybuilder out of 1500 is in the interval 180 pounds to 190 pounds.
Therefore, the number of required body builder is,
Thus,
(b)
To find: The probability that the body that a bodybuilder selected at random has a weight greater than 195 pounds.
(b)
Answer to Problem 11PT
Theprobability that the body builders selected at random has the weigh greater than 195 pounds is 0.23.
Explanation of Solution
Consider the event is given by,
The graph for the probability is shown in Figure 3
Figure 3
Then,
Therefore, the probability that the body builders selected at random has the weigh greater than 195 pounds is 0.23.
Chapter 11 Solutions
Glencoe Algebra 2 Student Edition C2014
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