Math Answers

a bag 10 white, 15 red and 8 green balls. A single draw of 3 balls is made. i)what is the probability that a white, a red and green balls are drawn

ii)What would be the probability of getting all the three white ball?

b) A and B are two events, not mutually exclusive, connected with a random experiment E, If P(A)=p, P(B)=2p and P(AuB)=P

a bag 10 white, 15 red and 8 green balls. A single draw of 3 balls is made. i)what is the probability that a white, a red and green balls are drawn

ii)What would be the probability of getting all the three white ball?

b) A and B are two events, not mutually exclusive, connected with a random experiment E, If P(A)=p, P(B)=2p and P(AuB)=P

Evaluate

lim 3nΣr=1 n^2/(4n+r)^3

n→∞

Show whether the following functions are uniformly continuous on the given domain.

1. F(x)=x^3 on [-1,1]

2. F(x)= 2x/2x-1 on [1, infinity]

3. F(x)= sinx/x on (0,1)

4. F(x)= 1/x on (0,1)

Determine the length of the curve 𝑥 = 𝑦^2 /2 for 0 ≤ 𝑥 ≤ 1/2 . Assume 𝑦 positive.

a bag 10 white, 15 red and 8 green balls. A single draw of 3 balls is made. what is the probability that a white, a red and green balls are drawn

a bag 10 white, 15 red and 8 green balls. A single draw of 3 balls is made. what is the probability that a white, a red and green balls are drawn

The functions f and g are defined by f(x) =1/(1-3x) and g(x) =log_1/3(3x-2)-log₃(x) respectively

1. Write down the sets D_f (ehe domain of f) and D_g (the domain of g)

2. Solve the inequality f(x) > 2 for x"\\isin" D_f

3. Solve the inequality f(x) ≥ 2 for x"\\isin" D_g

Hint: Use the change of base formula

QUESTION 1. Multivariate analysis of variance and covariance is a statistical technique that can be used to simultaneously explore the relationship between several categorical independent variables and two or more metric dependent variables.

QUESTION 2. The primary objectives of cluster analysis are to understand group differences and to predict the likelihood that an entity (individual or object) will belong to a class or group based on several metric independent variables.

QUESTION 3. Logistic regression is a statistical technique that can be used to explore a relationship between one dependent variable that is dichotomous and one or more binary independent variables (metric and nonmetric).

QUESTION 4. A dependence technique is defined as one in which a variable or set of variables are identified as the dependent variable(s) to be predicted or explained by other variables known as independent variables.

The average waiting time in a doctor’s office varies. The standard deviation of waiting times in a doctor’s office is 3.4 minutes. A random sample of 30 patients in the doctor’s office has a standard deviation of waiting times of 4.1 minutes. One doctor believes the variance of waiting times is greater than originally thought.

a) What is the test statistic?

b) What is the p-value?

c) What can you conclude at the 5% significance level?