A biotechnology company partially finances 42 ongoing research projects at several North American universities. The annual support granted for each project is determined by the progress of the project and has a mean of $22,919 and a standard deviation of $8269. The company has an annual budget of $1,000,000 for supporting research activities What is the probability that the support granted for 42 projects will exceed the annual budget? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

Q: to = (Round to two decimal places as needed.)

A: Given that  Sample size n =200 Sample mean =25.5 Standard deviation =3.9

Q: The monthly utility bills in a city are normally distributed with a mean of $121 and a standard…

A: Given : The monthly utility bills in a city are normally distributed with a mean of $121 and a…

Q: Harrisburg International Airport records daily weather data. Upon analyzing the average high…

A: GivenMean(μ)=41.1standard deviation(σ)=5.0

Q: Salaries at a large corporation are normally distributed with a mean of $45,000 and a standard…

A: The normal distribution shows the probability value using the standard score or raw score. It is…

Q: Suppose that the monthly charges for cell phone plans in the United States are normally distributed…

A: Let:Monthly charges for cellphone plans = xGiven that:Monthly charges for cellphone plans (x) in the…

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: you investigate the earnings of a financial advisor in a wealth management company. they earn on…

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

Q: places. ple of 50 male graduates will provide a sample mean within $1.00 of the population mean,…

A:

Q: The weekly salaries of teachers in one state are normally distributed with a mean of $980 and a…

A: Let, X=The weekly salaries of teachers in one state  Given that X is normally distributed with a…

Q: Study shows that teenagers spend on average $ 55.5 per month on fast food. with a standard deviation…

A: Solution-: Given: \mu=55.5, \sigma=4.5 We find, (a) P(their monthly spending is between $56.5 and…

Q: The owner of a computer repair shop has determined that their daily revenue has mean $7200 and…

A: We have given that  Mean(µ) = 7200Standard deviations (σ) = 1200 Number of days (n) = 30

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and…

A: given population mean=40000 population sd =5000  probability that a randomly selected tire will have…

Q: The starting salary for a computer programmer major has a mean of $39,269 and a standard deviation…

A: Note: Hey there! Thank you for the question. Although the mean and standard deviation of the…

Q: The amount of revenue of a shop is approximately normally distributed with a mean of $4500 and a…

A: We have to find out given probability..

Q: The Monthly salaries of teachers at Los Angeles Trade Tech are normally distributed with a mean of…

A: Given information: The monthly salaries of teachers at Los Angeles Trade Tech are normally…

Q: The average credit card debt for college students is $3262. The debt is normally distributed with a…

A:

Q: Each year students in a local school district write a national examination. The average on this…

A: Average of a dataset is the mean value of the observations in the data and it is computed by…

Q: According to AAA, the price of a gallon of regular, unleaded gas across gas stations in North…

A: Let X be the price of a gallon of regular, unleaded gas across gas stations in North Carolina is…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.9 and a standard…

A: Given: Mean μ = 95.9 Standard deviation σ = 15.6 Formula Used: Z-score: Z = X-μσ

Q: An asset has an average return of 11.45 percent and a standard deviation of 23.04 percent. What is…

A: Given information- Mean = 11.45% Standard deviation = 23.04% We know that- A probability of 16%…

Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…

A: Given that.   X~N( μ , ?)   μ=31000 , ?=3000   Z-score =( x - μ )/?

Q: Incomes for a certain profession are normally distributed with a mean of $64,745 and standard…

A:

Q: A voin is tossed four times. Let x denote the number of heads. Find the mean and standard deviation…

A: A coin is tossed four times. The  denotes the number of heads.

Q: approximately

A:

Q: population has a mean of 91 and a standard deviation of 10. A sample of 25 observations will be…

A: μ = 91σ = 10n = 25P(87.56<x¯<96.3) = ?

Q: The aircraft for a particular flight has 72 seats. The airline's records show that historically for…

A: Number of passengers Probability of passengers who purchase a ticket and arrive to board the flight…

Q: Data from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures…

A: Given information- For the year 2001- Population mean, µ = $235 Population standard deviation, σ =…

Q: Solve the following problem and show your complete solutions. Explain your answer for better…

A: The length of time that a phone will work before it needs charging is normally distributed with mean…

Q: Keystone is curious how likely they are to reach their annual revenue target.  Past experience…

A:

Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…

A: Given that.   X~N( μ , ?)   μ=31000 , ?=3000   Z-score =( x - μ )/?

Q: Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are…

A: Given that ; μ = $ 12837 ? = $ 1500 X = $ 17000 To find P( x < 17000) =  ? ?  P( x > 17000) =…

Q: The average price for an acre of land is $20,000 with a standard deviation of $2500.  What is the…

A: From the provided information, Mean (µ) = 20000 Standard deviation (σ) = 2500 X~N (20000, 2500)

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A:

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: An online retailer operates two independent warehouses (A & B) where it keeps its inventory. Each…

A: Solution: given that Each warehouse has a .05 probability of experiencing a fire. If a fire is…

Q: n what range of money for their annual salary?

A: In this, the given values are: μ=54,600 σ =10,200 According to the empirical rule, for normal…

Q: Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival…

A: From the provided information, Mean (µ) = 2 hours and 2 minutes or 122 minutes Standard deviation…

Q: high school students across the nation compete in a financial capability challenge each year by…

A: It is given that, the students who score in the top 13 percent are recognized publicly for their…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard…

A:

Q: Suppose that the monthly charges for cell phone plans in the United States are normally distributed…

A: