Math Answers

Two cards are drawn at random from a set of 52 cards.What is the probability that the both cards are either kings or queens

'Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the

cities they plan to visit. The number of hits daily is a normally distributed random variable

with a mean of 10,000 and a standard deviation of 2,400.

a. What is the probability of getting more than 12,000 hits?

A function is defined on R such that f(x) = (C^2)x when x≤1 and 5Cx-6 when x>1 . Determine the values of C so that f becomes continues on R

 Let X be a discrete random variable with the following PMF: pX(x) = 1/2 for x = 0 1/3 for x = 1 1/6 for x = 2 0 otherwise (i) Compute SX, the range of the random variable X. (ii) Calculate P(X ≤ 0.5). (iii) Calculate P(0.25 < X < 0.75). (iv) Calculate P(X = 0.2|X < 0.6).

a random sample of size n 16 is drawn from a normally distributed population. the sample mean is 98 with known standard deviation of 5. Construct a 98% confidence interval for the population mean.

trace the curve , x^2= y^2((x+1)^3 ) , stating all the points used in process

 Directions: Read the given situation, then state the possible consequence of an error made.

A quality control expert wants to test the null hypothesis that an imported solar panel is an effective source of energy.

2. Identify the Type II error in this context? What would be the possible consequence of committing the Type II error in this context?

a. They do not conclude that the solar panel is effective when it is not actually effective.

b. They do not conclude that the solar panel is effective when it is actually effective.

c. They conclude that the solar panel is effective when it is actually effective.

d. They conclude that the solar panel is effective when it is not actually effective.

Directions: Read the given situation, then state the possible consequence of an error made.

A quality control expert wants to test the null hypothesis that an imported solar panel is an effective source of energy.

1. Identify the Type I error in this context? What would be the possible consequence of committing the Type I error in this context?

a. They do not conclude that the solar panel is effective when it is not actually effective.

b. They do not conclude that the solar panel is effective when it is actually effective.

c. They conclude that the solar panel is effective when it is actually effective.

d. They conclude that the solar panel is effective when it is not actually effective.

1. A box contains 3 red,10 white, 5 blue and 2 green balls identical in mass and shape. Find the ratio of the number of green ball to the total numbers of balls.

2. The number of goals scored by a famous footballer per match in a tournament are:

0,2,1 0,1,3,2,1,1,1,4,1,1,2,1 2,0,0,1,1,1,1,0,2,0,0,2,1,1,3

From this data, find the ratio of the number of matches where the footballer scored more than two goals to the total number of matches.

The value of serum sodium in healthy adults approximately follows a normal distribution with a mean of 141meq/l and standard deviation of 3meq/l

(a) What is the probability that a normal healthy adult will have a serum sodium value above 147meq/l ( 5 marks)

(b) What is the probability that a normal healthy adult will have a serum sodium value below 130 meq/l ( 5 marks)

(c) What is the probability that a normal healthy adult will have a serum sodium value between 132 and 150meq/l (5 marks)