Math Answers

A couple has 4 children. Find each probability of a. All girls b. Exactly two girls and two boys c. At least one child who is a girl d. At least one child of each gender

Determine the nature of the stationary value

X = t³ - 3t + ty²

A random variable X ~ bino(5, 0.3). g(x) is a continuous and differentiable function on the interval (0, 5).

a. Write down the cumulative distribution function F(x) for the random variable X.

b. g(x) is an approximation of F(x). Construct g(x).

Suppose1,006 students attend middle school where ms.yadav teaches. Use your answer from part (a) to estimate the number of students who are wearing boots. Explain.

Let 𝐼 = ₀∫¹⁰ 𝑓(𝑥)𝑑x . You are asked to approximate the value of I using (i) uniform random 0 10 ∫ 𝑓(𝑥)𝑑𝑥 variable, (ii) Monte Carlo simulation and (iii) antithetic variates

a. Write down the procedures for the Monte Carlo simulation without using antithetic variates.

b. Write down the antithetic variable.

ten teachers met for breakfast.They shared 8 pints of orange juice.How much orange juice,in pints,did each teacher drink.

A study in David’s town showed that the ratio of the number of people who get their news from Facebook to the number of people who get their news elsewhere is 3:7. In a town of 900 people, how many people get their news from Facebook?

If the random variable x follows a normal distribution with a mean of 18 and a standard deviation of 5, find the value of k such that

1-p(X>K)=0.2578

2-p(X<K)=0.2578

in the claims department of an insurance office various quantities are computed at the end of each days business. On monday 10 claims are received for a particular class of policy. the mean claim amount is calculated to be K4,260 and the standard deviation to be K1120. On Tuesday it found that one of mondays claims for K5450 was classified wrongly and it is removed from the set of 10 claims. calculate the resulting mean and standard deviation of the reduced set of 9 claims.

There are 3 students in the class and 27 apples divided equally among the students how many each student get?