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Basile [38]
3 years ago
10

Jeremy can jog 1 1/3 miles in 1/4 hour. What is his speed in miles per hour?

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

1  1\3 = 4\3

4\3 * 4 = 16\3 = 5  1\3 miles per hour

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Step-by-step explanation:

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Answer:

a) f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11

b) P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

c) P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857

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And we can find this probability with this formula from the Bayes theorem:

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Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

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Part a

The probability density function is given by the following expression:

f(x) = \frac{1}{b-a} , a \leq x \leq b

f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11

Part b

We want this probability:

P(X \leq 7)

And we can use the cumulative distribution function given by:

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And replacing we got:

P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

Part c

We want this probability:

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And we can use the CDF again and we have:

P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857

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We want this conditional probabilty:

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And we can find this probability with this formula from the Bayes theorem:

P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5

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