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# 1. The ages of members of a bowling league are normally distributed with a mean of 43 years and a standard deviation of 4 years.

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1. The ages of members of a bowling league are normally distributed with a mean of 43 years and a standard deviation of 4 years.

There are 200 members in the league.

About how many members are expected to be between 35 years old and 51 years old?

136

160

183

190

2.

Use technology or a z-score table to answer the question.

The expression  P(z<1.33) represents the area under the standard normal curve below the given value of z.
What is  P(z<1.33)?

0.0918

0.0934

0.9066

3.

Use technology or a z-distribution table to find the indicated area.

The weights of tomatoes in a bin are normally distributed with a mean of 120 grams and a standard deviation of 4.3 grams.

Approximately 40% of the tomatoes weigh less than which amount?

111 g

114 g

117 g

119 g

0.9082

Apr 27, 2018

#1
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1.

Those members  between  35  and 51 years  of age will lie within  two standard deviations from the mean.... using the 68 - 95 - 99.7  rule, this means that  95%  of the  200 members will fall into this area....

So   ....

.95 * 200  =

190

Apr 27, 2018