Find normal probabilities with z-scores and technology

Question 1

X is normally distributed with mean 141 and standard deviation 11. Find P(X < 123.3) to 3 decimal places.

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Question 2

Adult heights are normally distributed with mean 167 cm and standard deviation 5 cm. Find P(height > 192 cm) to 3 decimal places.

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Question 3

Battery life is normally distributed with mean 252 minutes and standard deviation 23 minutes. Find the probability that a battery lasts between 250 and 263 minutes, to 3 decimal places.

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Question 4

X is normally distributed with mean 114 and standard deviation 18. Find P(X < 94.9) to 3 decimal places.

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Question 5

Adult heights are normally distributed with mean 183 cm and standard deviation 9 cm. Find P(height > 199 cm) to 3 decimal places.

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Question 6

Battery life is normally distributed with mean 153 minutes and standard deviation 27 minutes. Find the probability that a battery lasts between 117 and 172 minutes, to 3 decimal places.

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Question 7

X is normally distributed with mean 84 and standard deviation 11. Find P(X < 103.5) to 3 decimal places.

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Question 8

Adult heights are normally distributed with mean 189 cm and standard deviation 10 cm. Find P(height > 205 cm) to 3 decimal places.

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Question 9

Battery life is normally distributed with mean 219 minutes and standard deviation 36 minutes. Find the probability that a battery lasts between 176 and 232 minutes, to 3 decimal places.

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Question 10

X is normally distributed with mean 110 and standard deviation 9. Find P(X < 126.3) to 3 decimal places.

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Question 11

Adult heights are normally distributed with mean 172 cm and standard deviation 9 cm. Find P(height > 197 cm) to 3 decimal places.

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Question 12

Battery life is normally distributed with mean 206 minutes and standard deviation 24 minutes. Find the probability that a battery lasts between 160 and 230 minutes, to 3 decimal places.

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Question 13

X is normally distributed with mean 198 and standard deviation 15. Find P(X < 218.6) to 3 decimal places.

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Question 14

Adult heights are normally distributed with mean 183 cm and standard deviation 6 cm. Find P(height > 190 cm) to 3 decimal places.

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Question 15

Battery life is normally distributed with mean 481 minutes and standard deviation 17 minutes. Find the probability that a battery lasts between 469 and 486 minutes, to 3 decimal places.

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Question 16

X is normally distributed with mean 124 and standard deviation 5. Find P(X < 125.2) to 3 decimal places.

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