Exercise 6.1 The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.
Q: The amount of time it takes students to complete a biology exam is normally distributed with a…
A: Given that, The random variable X is the amount of time takes students to complete a biology exam It…
Q: The life time of a particular steel plate used in constructions has a normal distribution with a…
A: we have given that, the construction normally distributed with mean (mu)= 80 and standard deviation…
Q: according to a survey conducted by wedding book, women who celebrated valentines day last year spend…
A: given data, normal distribution μ=86σ=27 probability that a randomly selected woman who celebrated…
Q: The amount of money requested on home loan applications at a Bank follow a normal distribution with…
A: From the provided information, Mean (µ) = 73 Standard deviation (σ) = 22 Let X be a random variable…
Q: A hen lays a mean egg 309 eggs per year with a standard deviation is 12.7 eggs. The distribution can…
A: Given information- Sample size, n = 21 Population mean, µ = 309 eggd Population standard deviation,…
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: A Cuckoo Maran hen lays a mean 300 eggs per year with a standard deviation of 12.7 eggs. The…
A:
Q: The life of a component is normally distributed with mean 800 days and standard deviation 100 days.…
A:
Q: he number of bank robberies that occur in a large North American city is Poisson distributed with a…
A: Given : Let X : No. of bank robberies that occur in a large North American city is Poisson…
Q: Major league baseball salaries are normally distributed with average 3.3 million with a standard…
A: Answer: From the given data, Suppose X: The salaries of major league baseball X follows a normal…
Q: Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean…
A: Given , Mean ( μ ) = 111 standard deviation (σ) = 10.
Q: The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000…
A: It is given that Mean, μ = 7000 Standard deviation, σ = 600 Z-Score, Z = ( X - μ )/σ Note:…
Q: erature of healthy humans has a normal distribution with mean 98.3°F and variance 0.5375. What is…
A: The standard deviation is calculated as: σ=0.5375=0.73314≃0.733 Given:μ=98.3, σ=0.733 The…
Q: The Coffee Bean and Tea Leaf morning customer load follows a normal distribution with mean 46 and…
A: Solution
Q: The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…
A: Mean == 80Standard deviation = 6n = 16s = 6/√16 = 1.5Levels of significance = 1 - 0.05 = 0.95 or…
Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the…
A:
Q: Suppose that Google has designed its servers soo there is a probability 0.03 that the number of…
A: given data μ = 2800σ = 860P(x>z) = 0.03x = ?
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: 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: 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: The amount of daily sales of a candy shop in weekdays is approximately normally distributed with a…
A: Let us denote: X=the amount of daily sales of a candy shop in weekdays Given that X follows a normal…
Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…
A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.
Q: The lifetime of lightbulbs that are advertised to last for 3500 hours are normally distributed with…
A:
Q: Major league baseball salaries are normally distributed with average 3.3 million with a standard…
A: Given problem Given that Major league baseball salaries are normally distributed with average…
Q: Data from an experiment show that the standard deviation is 3.6 and the mean is 23.4. Find the…
A:
Q: The amount of snowfall falling in a certain mountain range is normally distributed with 80 inches…
A: Let x¯ denotes the mean annual snow falling during 25 randomly picked years. The mean is 80, and…
Q: If a golfer hit drives a golf ball with a mean of 180 yards and a standard deviation of 20 yards,…
A: We have given that A golfer hit drives a golf ball with a mean of 180 yards and a standard…
Q: The driving distance to work for residents of a community is has a mean of 21 miles and a standard…
A: The objective here is to find the probability that individual drives between 10 and 20 miles to…
Q: Body temperatures of adults are normally distributed with a mean of 98.60 Fahrenheit and a standard…
A: The Z-value of a random variable X is defined as follows: Here, the mean and standard deviation of…
Q: he number of customers at a coffee shop per day follows a normal distribution with a mean of 3,500…
A: given data, normal distributionμ=3500σ=250probability that the coffee shop will serve more than…
Q: he level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…
A: Given Data: Mean (μ)=85 Standard deviation (σ)=6 Variance (σ2)=36 Sample size(n)=16 Let X be the…
Q: The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance…
A: Given Mean = 81000 Sd = 5000
Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…
A:
Q: College students average 8.4 hours of sleep per night with a standard deviation of 35 minutes. If…
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: home study time (in hours) college freshmen each week is a normal variable with a mean of 23.2 h.…
A:
Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…
A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…
Q: Find the probability that a single randomly selected salary that doesn't exceed 181000 dollars.…
A: The random variable X is defined as the salary for graduates which follows normal distribution with…
Q: Find the probability that a randomly selected adult has an IQ greater than 136.4
A: Let X denote the IQ scores of adults. Given that X follows N(mean = 101.3, SD = 20.2), then Z = (X…
Step by step
Solved in 2 steps with 2 images
- Assume that people playing World of Warcraft in a week has a normal distribution with a mean of 54 hours and a standard deviation of 11 hours. Find the probability that a randomly selected person played more than 89 hours. Round to four decimals places.On average, TV crash after 109,000 hours of continuous use. Although the time for the TV to crash is random, researchers have found that the duration until the TV crashes follows an exponential probability distribution. e. What is the probability of a TV crash with a duration of use between 17,000 and 50,000 hours?f. What is the mean and standard deviation of the duration of the TV crash?The amount of time it takes students to complete a biology exam is normally distributed with a population mean of 120 minutes and standard deviation of 30 minutes. What is the probability that 25 randomly selected students will take longer than 135 minutes?
- Lost-time accidents occur in a company at a mean rate of 0.3 per day. Using the data above, what is the probability that the number of lost-time accidents occurring over a period of 7 days will be more than 3?Assume that the distribution of time spent on leisure activities by adults living in household with no young children is normally distributed with a mean of 4.5 hours per day and a standard deviation of 1.3 hours per day. Find the probability that the amount of time spent on leisure activities per day for a randomly selected adult from the population of interest is less than 6 hours per day.The lifetime of lightbulbs that are advertised to last for 4800 hours are normally distributed with a mean of 4950 hours and a standard deviation of 100 hours. What is the probability that a bulb lasts longer than the advertised figure? Probability =
- The waiting time before service in a bank is exponentially distributed with a mean waiting time of 5 minutes.a. What is the median waiting time.b. You enter the bank and find that your friend has been waiting in the queue for service for past 2 minutes. Upon your arrival what is the probability that your friend will wait for another 4 minutes?c. What is the mean and variance of the waiting time in the bank?The life of a component is normally distributed with mean 800 days and standard deviation 100 days. What is the probability of the component still working after 1000 days?The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
- College students average 8.2 hours of sleep per night with a standard deviation of 45 minutes. If the amount of sleep is normally distributed, what proportion of college students sleep for more than 9 hours? Probability = %3DCollege students average 7.1 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normally distributed, what proportion of college students sleep for more than 8.1 hours? Probability =Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 36 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal.