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Maurinko [17]
3 years ago
11

a recent study showed that the average high school basketball team score 76 points a game with a standard deviation of 8.4 point

s. Find the probability that a random team scores less than 64 points
Mathematics
1 answer:
krok68 [10]3 years ago
3 0

Answer:  0.0766

Step-by-step explanation:

Let x be the random team scores.

Given: Mean = 76

Standard deviation = 8.4

We assume that x follows normal distribution.

The probability that a random team scores less than 64 points = P(x<60)

=P(\frac{x-\mu}{\sigma}

Hence, the probability that a random team scores less than 64 points =0.0766

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To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide

12 and 1 over 412

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392

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Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

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4

= ( 12 × 4 ) over 4

12 × 4

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+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

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= 49 over 4

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Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

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8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

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= 392 over 28

392

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To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

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