Calculate the value of quantile a = 0,25 of a binomial distribution with n = 30 and a Probability of 0.5
Q: Use the normal approximation to the binomial distribution to find the probability that, out of 1500…
A: Assuming that the probability of vaccine effect on each individual to be p=0.8 then assuming X is…
Q: Men in a certain area have an average weight of 161 pounds with a strandard deviation of 33.1 find…
A: Given, Mean μ = 161 Standard deviation σ = 33.1 X ~ N(161, 33.12) We have to determine the…
Q: What is the probability of a z-score less than -0.02?
A: It is given that z-score is less than –0.02.
Q: A binomial distribution involves 60 trials with a probability of failure of 26. Find the standard…
A: It is given that n=60 and the probability of failure q is 0.26.
Q: the random variable X takes integer values starting from 1and has a geometric distribution with mean…
A:
Q: Use a normal distribution as an approximation to the binomial probability distribution to…
A: Given: Sample Sizen=20 Proportionp=0.8 The normal distribution can be used as an approximation to…
Q: Formulate The binomial distribution has a mean of?
A:
Q: The amount of time (in minutes) it takes a math wizard to conjure a magic square is a random…
A:
Q: 6. 69% of high school graduates population attend colleges, out of this population 100 HS graduates…
A: We have to find given probability.
Q: Find the probability indicated P(Z>-1.02)= please draw distribution
A:
Q: Calculate the mean and standard deviation for the binomial distribution P=0.67,n=8
A: Answer: From the given data, p = 0.67 and q = 1 - p = 1 - 0.67 = 0.33 Sample size(n) = 8
Q: What is the Z value of calculating probability of x<3500, on a single test?
A: If is given that, Mean is μ=7500 and standard deviation is σ=1750
Q: ose that we know, in addition, thất the standard deviation of the student's test on the final is…
A: We have given that. X~N( μ , ?^2 ) μ = 71.5 , ? =8.8 Z-score =( x - μ )/?
Q: Use a normal distribution as an approximation to the binomial probability distribution to…
A: Obtain the approximate probability of more than 13 successes in 20. The approximate probability of…
Q: Four bricks are sampled at random from a large load of bricks and the crushing strength of each is…
A: From a large load of bricks, 4 bricks are randomly selected. The crushing strength of each is…
Q: Assume that the number of calories in a McDonald's Egg McMuffin is a normally distributed random…
A:
Q: Calculate the Arthimatic mean of teo random value
A: If x1, x2, ... , xn are n observations, then their Arithmetic mean, denoted by x¯, is given by,…
Q: ress prints newspaper have a quantity that is approximately normally distributed, with mean equal to…
A: Given: μ=400, σ=20, n=5 The corresponding z-value needed to be computed is: The probability that…
Q: The distribution of binomial variable (x) has the following p=0,3 and n=9 determine probability…
A: Given The data is as follows: X~Binn=9, p=0.3
Q: The final grades in a probability class that has been taught the same way for many ears are known to…
A: Let X denote the final grades in a probability class. Given that X follows N(mean = 76, SD = 6) We…
Q: Suppose that the population mean flight time between cities 1 and 2 is 240 minutes with a population…
A: Given that. X~N( μ , ?^2 ) μ=240 , ?=20 Z-score =( x - μ )/?
Q: Distinguish between the Binomial and Poisson probability distributions.
A: Answer:- Binomial distribution describes the distribution of binary data from a finite sample. Thus…
Q: Suppose times for the 100m sprint for the average person are unimodal and symmetric with mean 14…
A: Consider X be a random variable which follows normal distribution indicates average time in seconds.…
Q: Define the random variable for this problem. Write the probability distribution for the given…
A: (i) let X be the no: of errors in a day of production line (ii) pdf of Poisson distribution…
Q: a) Find the probability of existence of a random sample (size 100) weight within + 5 lb. of…
A: a) Wild boar population weight has standard deviation of 50 lb. That is, σ=50. The probability of…
Q: Assume the TV warranty or replacement times for TV sets are normally distributed with a mean of 9.2…
A: It is given that the TV warranty or replacement times for TV sets are normally distributed with a…
Q: The time between arrival of buses follows an exponential distribution, with a mean of 20 minutes. •…
A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
Q: The length of human pregnancies from conception to birth is approximately Normal with mean 266 days…
A:
Q: Suppose an experiment of a dodecagon (12-sided die) is rolled at random. If we let X to be the…
A: Given that A die (12 sided die) rolled at random
Q: The random variable X is described by using the gamma distribution with expectation 10 and standard…
A: The provided information is as follows:The is a random variable and has Gamma distribution.The…
Q: The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a…
A: From the provided information, Mean (µ) = 45.0 lb Standard deviation (σ) = 7.9 lb X~N (45, 7.9) Let…
Q: Find the expected value and standard deviation. What is the probability that 2 customers will arrive…
A: as per our company guidelines we are able to answer only first 3 sub-parts. Kindly repost other…
Step by step
Solved in 2 steps with 1 images
- The average life of a certain battery is 7 years, with a standardeviation of 2 year. A random sample of size 16 of such batteries Assume that the live of the battery approximately follows a normal distribution. What is the probability that the average life will be at most 8 years?The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 65 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?Looking at the Chi-squared Distribution Probability Table (Table A.5 in the back of the textbook or e Table_ChiSquared.pdf [+]), find the probability P(x < 18.307)
- The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a standard deviation of 2.8 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. USE SALT (a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) 0.5432 (b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)Suppose that the test score of a student taking the final of a probability course is a random variable with mean 67.9. (a) Give an upper bound for the probability (in three decimal places) that the student's test score will exceed 95. Answer:Consider the probability that more than 43 out of 130 people have been in a car accident. Assume the probability that a given person has been in a car accident is 97% Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
- Use the normal approximation to the binomial to calculate the probability of getting more than 39 defectives in a random sample of 400 taken from a population which is 8% defective.The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.1 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will break down during the guarantee period.complains about an intenet brokerage firm occur at a rate of 4 per day . the number of complaintsto be poission distributed find the probability that the firm receives 6 or more complints in a day .