Search & Filtering
At Foodland supermarket 45%of the customers pay by credit card. Find the probability that in a randomly selected sample of fifteen customers (a)exactly four pay by credit card. (b) more than ten pay by cash.
n a game show contestants choose one of three doors to determine what prize they win. History shows that the three doors, 1, 2, and 3, are chosen with probabilities 0.30, 0.45, and 0.25, respectively. It is also known that given door 1 is chosen, the probabilities of winning prizes of $ 0, $100, and $1000 are 0.10, 0.20, and 0.70. For door 2 the respective probabilities are 0.50, 0.35, and 0.15, and for door 3 they are 0.80, 0.15, and 0.05. If X is a random variable describing dollars won, and D describing the door selected (value of D are D1 = 1, D2 = 2, and D3 = 3).
Find: (a) FX(x|D = D1) and fX(x|D = D1), (b) fX(x|D = D2)
a class of 30 of these pupils is used as sample. what is the probability that the class mean is greater than 46 inches?
determine a 95% confidence interval for the mean of a normal population with variance 6.25
A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution of X. Express the results graphically as a probability histogram.
A manufacturer of light bulbs produces 100 Watt(W) bulbs that have lifetimes, L
hours, which are normally distributed with mean 1200 hours and standard deviation
50 hours. What is the probability that a randomly selected 100W bulb has a lifetime,
(a) Less than 1130 hours. (2)
(b) Between 1175 and 1275 hours? (2)
A room is fitted with three new 100W bulbs.
(c) What is the probability that I do not need to replace a bulb in the next 1130 hours?
(3)
If a probability that A,B and C will solve a problem is 1/2,3/4 and2/3.what is the probability that the problem will be solved
1. Students in a form three class got the following scores in a particular term:
Student
CAT
EXAM
A
34
50
B
56
57
C
53
87
D
24
47
E
57
89
F
75
45
G
54
63
H
44
72
I
39
80
a) Determine the regression equations of y on x. (10 Marks)
b) A student sat the CAT and score 65 but missed the EXAM. What score was he to get if he had sat the EXAM? (5 Marks)
Contract a table to answer and draw a bar paragraph;
Ashipments of five computer contains two that are slightly defective. If a retailer receives three of these computers at random, list the elements of the same space S using the letters D and N for defective and non-defective computers, respectively. To each sample point, assign a value x of the random variable X representing the number of computers purchased by the retailer which are slightly defective
The tallest living man at one time had a 248 Why time had a of Heights of men at that time had a man of 175 88 cm and a standard deviation of 759 Which of these two men had the that was more extreme?
