Finding Values from Probabilities Answers

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3

The lengths of the red drum species of fish are approximately Normally distributed, with a mean length of 24 inches and a standard deviation of 1.4 inches. What proportion of red drum fish are less than 23 inches in length?Find the z-table here.

A
0.1587
B
0.2389
C
0.2709
D
0.7611
4

The diameters of cherry tomatoes produced by a large farm have an approximately Normal distribution, with a mean diameter of 22 mm and a standard deviation of 2.5 mm. What proportion of such tomatoes have a diameter between 20 and 26 mm?Find the z-table here.

A
0.2667
B
0.4237
C
0.5763
D
0.7333
8

A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in captivity. The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles have lifespans of at least 24 years?Find the z-table here.

A
0.0104
B
0.3336
C
0.4896
D
0.6664
9

In a standard Normal distribution, what percentage of observations lie above z = 1.65?Find the z-table here.

A
4.95%
B
5.48%
C
6.06%
D
95.05%
10

A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has an approximately Normal distribution, with a mean of 28.2 ounces and a standard deviation of 0.4 ounces. What percentage of filled boxes of rice have a weight less than 27.9 ounces?Find the z-table here.

A
22.7%
B
38.2%
C
61.8%
D
77.3%

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