Find normal probabilities with z-scores and technology

Question 1

Battery life is normally distributed with mean 484 minutes and standard deviation 18 minutes. Find the probability that a battery lasts between 474 and 496 minutes, to 3 decimal places.

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Question 2

X is normally distributed with mean 82 and standard deviation 5. Find P(X < 87.8) to 3 decimal places.

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Question 3

Adult heights are normally distributed with mean 153 cm and standard deviation 11 cm. Find P(height > 171 cm) to 3 decimal places.

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Question 4

Battery life is normally distributed with mean 253 minutes and standard deviation 15 minutes. Find the probability that a battery lasts between 238 and 258 minutes, to 3 decimal places.

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Question 5

X is normally distributed with mean 139 and standard deviation 19. Find P(X < 174.9) to 3 decimal places.

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Question 6

Adult heights are normally distributed with mean 170 cm and standard deviation 12 cm. Find P(height > 174 cm) to 3 decimal places.

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Question 7

Battery life is normally distributed with mean 105 minutes and standard deviation 26 minutes. Find the probability that a battery lasts between 82 and 153 minutes, to 3 decimal places.

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Question 8

X is normally distributed with mean 160 and standard deviation 19. Find P(X < 177.5) to 3 decimal places.

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Question 9

Adult heights are normally distributed with mean 156 cm and standard deviation 7 cm. Find P(height > 168 cm) to 3 decimal places.

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Question 10

Battery life is normally distributed with mean 219 minutes and standard deviation 27 minutes. Find the probability that a battery lasts between 192 and 240 minutes, to 3 decimal places.

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Question 11

X is normally distributed with mean 137 and standard deviation 20. Find P(X < 117.4) to 3 decimal places.

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Question 12

Adult heights are normally distributed with mean 167 cm and standard deviation 8 cm. Find P(height > 169 cm) to 3 decimal places.

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Question 13

Battery life is normally distributed with mean 309 minutes and standard deviation 14 minutes. Find the probability that a battery lasts between 287 and 330 minutes, to 3 decimal places.

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Question 14

X is normally distributed with mean 154 and standard deviation 9. Find P(X < 154) to 3 decimal places.

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Question 15

Adult heights are normally distributed with mean 159 cm and standard deviation 9 cm. Find P(height > 166 cm) to 3 decimal places.

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Question 16

Battery life is normally distributed with mean 353 minutes and standard deviation 21 minutes. Find the probability that a battery lasts between 342 and 390 minutes, to 3 decimal places.

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