Search & Filtering
Question 1
In Uni, the probability that a student takes calculus or is on scholarship is 0.85. The probability that a student is on scholarship is 0.61 and the probability that a student is taking calculus is 0.31.If a student is randomly chosen, find the probability that the student is taking calculus and is on scholarship?
Question 2
A group of 9 people is going to be formed into committees of 4, 3, and 2 people. How many committees can be formed if no person can serve on more than one committee?
An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their policy is to sell 52 tickets for a flight that can hold only 50 passengers. What is the probability that there will be a seat available for every passenger who shows up?
The operations manager of a sales company wants to see whether there is a significant difference in the ages of male and female customers. He selected a sample of 35 samples for each group. The ages are shown in the table below: Male Female x̄1 = 27.3 x̄ 2 = 28 σ1 = 2.4 σ2 = 3.1 n1 = 35 n2 = 35 At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages of the two groups. Solution: Step 1: Null and alternative hypothesis H0: H1: Step 2: Significance level a = Step 3: Test statistic:
The operations manager of a sales company wants to see whether there is a significant difference in the ages of male and female customers. He selected a sample of 35 samples for each group. The ages are shown in the table below: Male Female x̄1 = 27.3 x̄ 2 = 28 σ1 = 2.4 σ2 = 3.1 n1 = 35 n2 = 35 At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages of the two groups. Solution:
The operations manager of a sales company wants to see whether there is a significant difference in the ages of male and female customers. He selected a sample of 35 samples for each group. The ages are shown in the table below: Male Female x̄1 = 27.3 x̄ 2 = 28 σ1 = 2.4 σ2 = 3.1 n1 = 35 n2 = 35 At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages of the two groups. Solution: Step 1: Null and alternative hypotheses.
the probability of finding 1s electron in hydrogen atom in a given volume element dv is f(r)=4πr^2 A^2 e^-2r/a. determine the value of constant A and hence obtain the mean distance of electron from the origin .
two factories produce similar ammeters. firm a produces 1000 ammeter out of which 50 are defective. firm b produces 2500 ammeters out of which 100 are defective. what is the probability that an ammeter chosen at random and found to be defective belongs to firm b?
What is the probability that at most two out of 10 customers will prefer the deluxe model
Calculate the exponential distribution, expected value, and variance of the given data.
μ = 2, x1 = 4, x2 = 1
What is the probability that the arrival time between consecutive customers is less than five minutes given that customers arrive at the claims counter at the rate of 15 per hour?
