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A box containing different balls, differentiated from each other with different colors. 8 are red, 7 are blue and 6 are green balls. One ball is picked up randomly. What is the probability that the ball picked is neither blue nor green. *
(C) 9/22
(A) 2/21
(D) 8/21
(B) 7/21
A restaurant will be opening in Greenhills Shopping Center. In the process of preparing,
they have to buy appliances. A refrigerator, which costs 45,789.00, has a 15% chance of
replacement in the first three years of purchase. The store is offering an extension of the
warranty cost of 8795.00 on the refrigerator.
a. What is the expected value of the extended warranty assuming it is replaced after
three years?
b. Will you buy the refrigerator? Why?
c. Identify the mean, variance, and standard deviation.
Four cards are drawn from a deck without replacement. Find these probabilities
can u give me sample problems of correlation with data of 20 students pertaining to their grades and BMI?
A jar contains 4 red marbles, 5 white marbles, and 6 blue marbles. Two marbles are randomly selected from the jar with replacement. Find the following probabilities. Leave your answer as a reduced fraction.
- A red marble and then a blue marble is randomly selected.
- A white marble and then a red marble is randomly selected.
The manufacturer of rechargeable electric shavers maintains that the mean working time of his product between charges is more than four hours. A random sample of fourteen shavers gives the following results (in minutes):
260
264
247
255
239
275
257
258
246
286
253
245
262
259
Test the manufacturer’s allegation at a 5% level of significance (assume normality).
What is the probability that a person chosen at random in the country, will have seen the commercial and bought the product?
The grades in a statistics course for a particular semester were as follows:
x= 1, 2, 3, 4, 5, 6, 7, 8
f= 136, 60, 34, 12, 55, 1, 3, 1
Test the hypothesis, at the 0.05 level of significance, does the distribution of grades
follow poisson distribution.
A dry-cleaning establishment claims that a new spot remover will remove more
than 70% of the spots to which it is applied. To check this claim, the spot remover
will be used on ‘55’ spots chosen at random. If fewer than 11 of the spots are
removed, we shall not reject the null hypothesis that p = 0.7; otherwise, we conclude that p > 0.7.
i. Evaluate α, assuming that p = 0.7.
ii. Evaluate β for the alternative p = 0.9.
#340153 on Dec 2023