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deff fn [24]
3 years ago
7

The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 14 to 35 mph and

is uniformly distributed. None of the cars travel over 35 mph through the intersection.What is the probability that the speed of a car is between 17 and 23 mph?
Mathematics
1 answer:
Ivan3 years ago
8 0

Answer:

28.57% probability that the speed of a car is between 17 and 23 mph

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula:

P(c \leq X \leq d) = \frac{d - c}{b - a}

14 to 35 mph and is uniformly distributed.

This means that a = 14, b = 35

What is the probability that the speed of a car is between 17 and 23 mph?

P(c \leq X \leq d) = \frac{d - c}{b - a}

P(17 \leq X \leq 23) = \frac{23 - 17}{35 - 14} = 0.2857

28.57% probability that the speed of a car is between 17 and 23 mph

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Answer:

(a) A = {1, 2, 3, 4, 5, 6}

(b) B = {1, 2, 3, 4, 5, 6}

(c) C = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

(d) D = {-5, -4, -3, -2, -1, -0, 1, 2, 3, 4, 5}

Step-by-step explanation:

Assume each roll can result in the numbers 1, 2, 3, 4, 5, or 6.

(a) If both rolls result in a 1, the maximum value is 1. If either roll results in a 6, the maximum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

A = {1, 2, 3, 4, 5, 6}

(b) If either roll results in a 1, the minimum value is 1. If both rolls result in a 6, the minimum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

B = {1, 2, 3, 4, 5, 6}

(c) If both rolls result in a 1, the sum is 2. If both rolls results in a 6, the sum is 12; all integers between 2 and 12 are also possible. Therefore, the possible values are:

C = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

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3 years ago
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<u>13/15 </u>

                               _

Decimal Form: 0.86

Not sure if you would've preferred a step-by-step solution. Sorry! Hope you find this helpful, good luck!

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Answer:

b=8d+9c+3

Step-by-step explanation:

Multiply:

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Rewrite Equation:

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<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation can be solved in the following manner,

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Learn more about Equation:

brainly.com/question/2263981

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