Suppose speeds of vehicles on a particular stretch of roadway are normally distributed with mean 36.6 mph and standard deviation 1.7 mph. a. Find the probability that the speed X of a randomly selected vehicle is between 35 and 40 mph. b. Find the probability that the mean speed X of 20 randomly selected vehicles is between 35 and 40 mph.

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A: We have to solve given Questions.

Q: 40 -50-

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Q: 8.20+2

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Q: 24 12 XD

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Q: 2/5+4/8

A: We have to find the sum

Q: 10 8/10 + 9 7/12=

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Q: 6 2/5 + 1 3/10

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Q: 8+ 6 10. 9-2

A: This question is related to addition, subtraction and devision of numbers, we will solve it using…

Q: 33/29 b.

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Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 7 11

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Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 16 2/5- 8 4/9

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Q: 5. 110 (x + 12)°

A: given alternate exterior angles are equal.

Q: 42.1+6.9

A: Given that  42.1+6.9 Then the value of 42.1+6.9

Q: 9 1/2-8 3/4+10

A: We have to find solution of given expression.

Q: 81 (1) 420

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Q: 56 10

A: The objective is to evaluate the value for

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

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Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: 6/9 +  5/18 + 1 3/6

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Q: 38 10

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Q: 0218 X 17 (2) 600 x 38 131 784 X 44 (47664 X 18 157146X1

A: We need to perfrom multiplication.

Q: 7 10

A: Consider the provided equation, x7·x10=____ Fill in the blank.

Q: 6 3/20 - 6 3/8

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Q: 2.763-4.5(2.1x-5.1432)=6.32x+5

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Q: 5 2/5+ n= 75/6

A: Given query is to find the value of n.

Q: 8-8.2+5.0

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Q: 11.6 - (-12.2) + (11.7)

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Q: 8(14-9)+5 32+6

A: The given expression is

Q: 5. Calculate the p-value of the test. 6. Interpret the p-value. 7. State the conclusion of the test…

A: 5. The P-value is obtained below: P-Value: From the given information, the value of the test…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.