The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of 3.2 miles per hour. What percent of drivers are traveling between 70 and 80 miles per hour based on this distribution

Question

01-06-2021
Mathematics

contestada

The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of 3.2 miles per hour. What percent of drivers are traveling between 70 and 80 miles per hour based on this distribution

Respuesta :

Otras preguntas

On a game show, the first place winner got cash and prizes worth a total of $4,622.00. The runner-up won a total of $2,541.00. How much more did the first place

For each function f, find f^-1 and f^-1(5). f={(-1,5), (0,0), (2,6)}

(Please Answer Quickly) Find the distance between the point and the plane. (Round your answer to three decimal places.) (4, 2, 1) x − y + 2z = 6

Marvin drove 310 miles in 5 hours. At this same rate, how far could he travel in 2 hours? a. 105 miles b. 124 miles c. 155 miles d. 170 miles e. 200 miles

Select the values that make the inequality m 4 true. Then write an equivalent inequality, in terms of m. (Numbers written in order from least to greatest going

Although most predicted Phillip to ______ his father, he surprised them by reversing several of his fathers more malevolent policies. dislike resemble influence

Joe and Ann buy some fruit from the same shop. Joe buys 4 apples and 3 bananas for £2.50 Ann buys 3 apples and 4 bananas for £2.40 Work out the cost of (i) one

Explain the different stages in nutrition of amoeba ?

Yochanan walked from home to the bus stop at an average speed of 5 55 km/h km/hstart text, k, m, slash, h, end text. He immediately got on his school bus and

Select the values that make the inequality m 4 true. Then write an equivalent inequality, in terms of m. (Numbers written in order from least to greatest going

JeanaShupp JeanaShupp · Answer 1 · 2021-06-06T03:35:09+02:00

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.