What is the standard deviation of the discrete probability distribution of the extra damage points?
Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…
A: Solution
Q: Suppose a geyser has a mean time between eruptions of 92 minutes. If the interval of time between…
A: From the given information,
Q: The mean of a normal probability distribution is 120 the standard deviation is 10. About what…
A:
Q: A manufacturer produces a commodity where the length of the commodity has approximately normal…
A: Given : mean = μ = 6.3 inches standard deviation = σ = 1.6 inches n = 33 μX¯ = 6.3 σX¯ = σn σX¯ =…
Q: The mean of a normal probability distribution is 120 the standard deviation is 10. About what…
A:
Q: Given a random variable X that follows a normal distribution with mean = 100 and standard deviation…
A:
Q: The temperature of heated water is in a coffeemaker is a continuous random variable that follows a…
A:
Q: A manufacturer knows that their items have a lengths that are approximately normally distributed,…
A:
Q: The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a…
A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…
Q: If babies have birth weights that are approximately normally distributed with mean 3.3kg and a…
A: Given : μ=3.3 kgσ=0.55 kgX~N(μ=3.3,σ2=(0.55)2) We want to find, P(X > 5) = ?
Q: Andrew plans to retire in 40 years. He plans to invest part of his retirement funds in stocks, so he…
A: The standard normal distribution is a distribution that is derived from a normal distribution. We…
Q: The time it takes to drive through the middle of campus follows a uniform distribution with a…
A:
Q: Find the probability that mean of sample size 36 will be negative.
A:
Q: The distribution of annual returns on common stocks has a mean of 9 percent and a standard deviation…
A:
Q: There is a 5k race, time was normally distributed with a mean of 28 minutes and a sd of 5 minutes.…
A: It is given thatMean, μ = 28Standard deviation, σ = 5Z-Score, Z = ( X - μ )/σwhere, Z be the…
Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7…
A: Given information- Mean waiting time, µ = 7 minutes The variance of the waiting time, σ2 = 4 So, the…
Q: Your company's monthly income average is 25000 $ with a standard deviation of 2000 $, while average…
A: Given: Let monthly income be X X ~ N(25000, 20002) Let monthly cost be Y Y ~ N(20000, 15002) Let P…
Q: The distribution of weekly salaries at a large company is right skewed with a mean of $1000 and a…
A: Given,sample size (n)=50mean(μ)=$1000standard deviation(σ)=$350
Q: On the final exam in a large statistics class the average score was 76 with a standard deviation of…
A:
Q: The average salary for graduates entering the actuarial field is $63000. If the salaries are…
A: It is given that the salary for graduates follows a normal distribution with mean $63,000 and…
Q: Tom works for a fruit company and found that the weights of pineapples are normally distributed with…
A:
Q: A normal distribution has a mean 80 and standard deviation is 10. What is the probability of…
A: Given: µ = 80 σ = 10
Q: A recording firm wants the distribution of lengths of cuts on its playlists to have an average of…
A: Let X be the distribution of lengths of cuts on its playlists. Given mean, μ = 135 sec Standard…
Q: A nutritionist asks a client to record the number of calories he consumes each day for 6 months. The…
A:
Q: If X is normally distributed with mean 10 and standard deviation 2, what is the probability that X…
A:
Q: The normal model applies to the productivity of all workers at a factory, with a mean of 75 units…
A:
Q: What is the probability that a randomly selected book has fewer than 141 pages if the mean is 193…
A: Given that The mean= 193 The standard deviation = 26 To find the probability that a randomly…
Q: Derive the MGF of Cauchy’s distribution.
A: The pdf of Cauchy distribution is, f(x)=1π(1+x2) ;-∞≤x≤∞
Q: A random variable X is normally distributed with mean = 80 and standard deviation = 4.5. What is the…
A: The random variable X follows normal distribution. The population mean is 80. The population…
Q: In a certain factory average length of products is 26 cm and standard deviation is 6 cm.…
A: Given Information: Distribution of lengths of products in a certain factory is assumed to be normal.…
Q: manufacturer knows that their items have a normally distributed length, with a mean of 12.3 inches,…
A: The objective of this question is to find the probability that the mean length of 11 randomly chosen…
Q: Susan has been on a bowling team for 14 years. After examining all of her scores over that period of…
A: We are given information, Let, X=scores over that period of time The random variable X follows a…
Q: Find the probability of z greater than 0.5 if mean is 0 and standard deviation is 1.
A: Given, Mean=0 S.D=1 P(z>0.5)=?
Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 4…
A: Given that μ=4σ=9
Q: A lecturer commutes daily from his home to university. The average time taken for a one-trip is 30…
A: Given: Meanμ=30 minutesStandard Deviationσ=4 minutes Part i The probability that the time taken for…
Q: e time taken to complete an exam folows a normal probability distribution with a mean of 60 minutes…
A:
Q: Jessica knows that the average profit of manufacturing plants nationwide each year is $100,000 with…
A: Given information: μ=100,000σ=16,000n=35
Q: If the weights of students at A&M are normally distributed with a mean of 160 and a standard…
A: Given: μ = 160 σ = 25
Q: The lengths of human pregnancies are approximately normally distributed with a mean of 268 days and…
A: Let X is the random variable representing lengths of human pregnancies. X~Normalμ=268,σ=16
What is the standard deviation of the discrete
Step by step
Solved in 3 steps with 2 images
- Suppose that the average number of hurricanes is 32 per year with a standard deviation of 2.8 and follow a normal distribution. What is the probability that we will have more than 31 hurricanes this year in a decimal form?The time spent waiting in the line is approximately normally distributed. The mean waiting time is 66 minutes and the variance of the waiting time is 44. Find the probability that a person will wait for more than 33 minutes. Round your answer to four decimal places.Assume that the arrival rate of students entering a particular class late is 3 students. If I assume a normal distribution for this arrival rate, how big is my absolute error for the probability of 5 or fewer students arriving late?
- The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 20 and standard deviation 7. What is the probability that the temperature on a random January day in Columbus is below 10 degrees?It is known that the mean blood pressure of a community is 125 mm of Hg with a standard deviation of 3 mm of Hg. What would be the probability of finding individuals with blood pressure less than 120 mm of Hg in the community? ( Assume blood pressure is normally distributed).A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last more than five (5) years.
- Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.1 pound, what is the probability that the amount dispensed per box will have to be increased? a) 0.0018 b) 0.2009 c) 0.0009 d) 0.9991 e) 0.2660 f) None of the aboveA recording firm wants the distribution of lengths of cuts on its playlists to have an average of 135 sec and a standard deviation of 2.5 sec so that the radio disc jockeys have plenty of time for commercials within each 5-minute period. The population is normal. What is the probability that the average length of 4 cuts will be less than 130 if the population mean is 135 and the standard deviation is 2.5?* Your answer is incorrect. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i 98.80