b) Incomes of a group of 2000 employees in a certain company were found to be normally distributed with mean Rs.5500 and standard deviation Rs 1000. Find the expected number of employees with income. i) below 5000 ii) above 8000 iii) the lowest income of high ranked 15% of employers.

Q: Suppose a lightbulb manufacturer claims that the mean lifetime of it's bulb is 35 hours. Assume the…

A: 68-95-99.7-rule:Let X be an observation from a normal distribution (mound shape), having mean µ and…

Q: 4. The average credit card debt for 500 college seniors is Php3762. If the debt is normally…

A: Given,mean(μ)=3762standard deviation(σ)=1100sample size(n)=500

Q: mean number of customers arriving at a restaurant during a 15-minute period is 9. Find the standard…

A: Given that :   The mean number of customers arriving at a restaurant during a 15-minute period is 9.…

Q: If the scores follow normal distribution with the mean of 84 and a standard deviation of 7, find…

A:

Q: The average age of UST employees is 34 years old. Assume the data is normally distributed. If the…

A: The average age of UST employees is 34 years old i.e. μ=34 The standard deviation is three years…

Q: For woman at Hartford college, times to run 400 meters are normally distributed with a mean of 85…

A: Solution: Let X be the time to run 400 meters. From the given information, X follows normal…

Q: The mean gas mileage for cars driven by the students at Chillville High Schoo is 28.0 miles per…

A: Normal distribution is continuous distribution which has many real life applications. Standard…

Q: The ages of professors in 6 schools are: 50, 39, 40, 65, 60, 45. Compute the Standard Deviation

A:

Q: runner ran a time for the 100 meter sprint of 15.0 seconds at a school where the mean time for the…

A:

Q: 5. In 2018, the braking distance of Toyota Camry cars on a wet surface follows a normal…

A: Let,        X = braking distance of the Toyota Camry cars    Then, X ~ N(122, 20)  Then, let, Z = (X…

Q: A mechanical device has a wear out time that is normally distributed with a mean of 1100 hours and a…

A:

Q: The average wage for bank managers in a certain city is $91,900 per hour with a standard deviation…

A: Given that  X~N( μ = 91900 , ? = 24300) μ = 91900 , ? = 24300 Z-score =( x - μ )/?

Q: Find the score of a student who scored worse than 70 percent of the test takers in the verbal…

A: The standard normal variable Z is defined as, Z = (X – µ)/σ, where µ is the mean of the random…

Q: Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a…

A: Given : Mean = 159, Standard Deviation = 16, Sample Size = 30