The random variable X is the number of minutes of serving a customer in a Starbucks coffee shop. Assume that X has an exponential distribution with the mean equals to 5 minutes.
a) What is the standard deviation of the serving time?
b) What is the probability that the serving time for a customer will be between 3 and 5 minutes?
The random variable X is the number of minutes of serving a customer in a Starbucks...
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.2 minutes and a standard deviation of 3.5 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. (a) What is the probability that for...
A shop has an average of five customers per hour 5. A shop has an average of five customers per hour (a) Assume that the time T between any two customers' arrivals is an exponential random variable. (b) Assume that the number of customers who arrive during a given time period is Poisson. What (c) Let Y, be exponential random variables modeling the time between the ith and i+1st c What is the probability that no customer arrives in the...
In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5 th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.1670.1940.3440.1780.117(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______ and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...
Will rate!! Show work plz Part 1. (6 points) Identify the distribution For each random variable: State the distribution that will best model random variable. Choose from the common distributions: Uniform, Exponential or Normal distribution. Explain your reasoning. State the parameter values that describe the distribution. Give the probability density function. a. b. c. Random Variable 1 A statistics student has a part time job as a coffee shop barista, she realizes the time between customer orders is a random...
In the following probability distribution, the random variable x represents the number of activities a parent of a 6 th- to 8th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.3670.1330.2090.1160.175(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______ and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...
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 3 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. (a) What is the probability that for...
Suppose the time between buses at a particular stop is a positively skewed random variable with an average of 59 minutes and standard deviation of 6 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of n = 38 times. The average of this sample, X , is a random variable that comes from a specific probability distribution. (a)Which of the following is true about the distribution of...
please help with all. In the following probability distribution, the random variable x represents the number of activities a parent of a 6th-to 8th grade student is involved in. Complete parts (a) through (1) below. * 1 0 1 2 3 4 5 P(x) 0.269 0 206 0.224 0.239 0.062 (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilities is and each probability is (6) Graph the discrete...
Q3. A customer spending waiting time at Alahwal_Jeddah check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 49 customers is observed. Find the probability that the average time waiting in line for these customers is: (a) Less than 9.3 minutes (b) Between 5 and 10 minutes (c) Less than 7.5 minutes
solve all the questions with details. Let X be a geometric random variable. If P(X>7| X-4)-0.216, then POX-3) equals a) 0.083 d) None of these b) 0.144 c) 0.063 **In a certain mall the service time is a normal random variable with a mean of 5.12 minutes and a standard deviation of 2 minutes. Five customers are waiting for the service. Find the probability that the service time of only one of them is more than 6 minutes a)0.3325 d)...