Statistics and Probability Answers

The amount of Chilies that are produced each year by a farmer in Lali
Village is normally distributed. The standard deviation of the bags of
chilies is identified as 0.04 grams. Chilies that too small and unripe are not
bagged. Using your knowledge of hypothesis testing and a 95%
confidence level, execute a two – tailed to prove the claim that μ = 0.50
grams. The sample mean is 0.51 grams and the sample size is 25 bags of
chilies.

If 50 (fifty) classes of 20 (twenty) students are randomly selected, what is the probability that 10 (ten) classes have no left-handed students if 8% of students in the class are left-handed students.

A and B are equally good tennis players. Which of the following two events is more probable? (i) A beats B exactly in 3 games out of 4. (ii) A beats B exactly in 5 games out of 8

Given that P(X=2)=9P(X=4)+90P(X=46) for a Poission distribution variate X. Find (i)P(X<2) (ii)P(X>4) (iii)P(X>=1).

Among 100,000 women with negative mammograms, 20 will be diagnosed with breast cancer in 2 years, whereas 1 woman in 10 with positive mammograms will be diagnosed with breast cancer in 2 years. Suppose that 10% of the general population of woman will have a positive mammogram. What is the probability that a woman who develops breast cancer over the next 2 years has a negative mammogram?

A certain disease is spread by only direct contact. The probability of a healthy person to get infect by a single direct contact is 0.02. What is the chance that a healthy person gets infected with the disease by the fourth time he comes into contact with an infected person. (assume contact with the other person is independent)

how to do score limits intervals and find widths

The joint probability distribution of two random variables X and Y is given below. Find the marginal distributions and P(Y=3/X=2)
f(x,y) x
y 2 4
1 0.1 0.15
3 0.2 0.3
5 0.1 0.15

Let A,B, C be three events suich that P(A)=0.4, P(C)=0.3, P((A ) ̅ ∩B)=0.2 and P(A∩B)=0.1 and
P(A∩B)=0.1 and (A∪B)∩C=∅
Find a) P(A∪B∪C) b) P(A ̅ ∪ B ̅)

A shipment of 100 digital voice recorders contains 25 that are defective. If 10 of them are randomly chosen for inspection what is the probability that 2 of the 10 will be defectiveby using the Hyper geometric distribution by approximating the hypergeometirc probability by the binomial probability