Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 84 mph. d. 74% of all cars travel at least how fast on the freeway? mph.

Q: The distribution of the lengths of a commercially caught fish is bell-shaped with mean 24 cm and…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: After 8 points are added to each score in a sample, the mean is found to be M = 40. What was the…

A: Let us have n number of scores in a sample. After adding 8 to each score sample mean will be M = 40…

Q: Set A has a standard deviation of 2 and Set B has a standard deviation of 5. Which statement is…

A: Solve the following

Q: 00 job applicants took an IQ test and their scores are normally distributed with a mean of 100 and…

A: given data, 100 job applicantsμ=100σ=20formula of z score:=x-μσ

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A:

Q: Which among the value approximately equal to P(Z>-1.20) A.) 0.1151 B.) 0.3849 C.) 0.7698 D.) 0.8849

A: Let Z be the random variable from normal distribution the we will find the probability    P(Z>…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: Let X denotes the random variable of the reading on the thermometers  X~N(0,1) We have to find the…

Q: Find the z-score that corresponds to the 67th perentile. O A. 0.44 O B. 0.67 OC. -0.44 O D. -0.67

A: The z-score that corresponds to the 67th percentile will be obtained as given below: The 67th…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: The mean and standard deviation are 0 and 1, respectively.

Q: The measurements are 465, 589, 526, 602, 486, 542, 472, 689, and 643. Find the mean and the standard…

A: obtain the mean of the data:The mean for the given data can be obtained by entering the…

Q: an ahnual salary for tenured college professors at a certain college is $50,00. o-$1,800. Answer…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A:

Q: me Using Chebyshev's theorem, find the percentage of runners who ran this road race in 80 to 140…

A: Provided data is, mean time taken by participants to run a road race found to be 110 minutes with 15…

Q: Determine the following and shade the area of interest under the curve for each problem. Make sure…

A: