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Statistics and Probability
When is the sample mean normally distributed? (5 marks)
Statistics and Probability
A supermarket buys a particular product from four suppliers, A, B, C, D, and regular tasting tests by expert panels are carried as the product is sold in their food halls. Various characteristics are scored and an analysis of the totals of these scores is made. Four tasters I, II, III, IV, and V obtained these results at four sessions 1-4.Analyse and comment on them. Taster I II III IV Block 1 2 3 4 A21 B17 C18 D20 B20 D22 A23 C19 C20 A24 D22 B19 D22 C21 B22 A26 1. Write the linear statistical model for this study, and explain components. the model 2. State the assumptions necessary for an analysis of variance of the data. 3. What would the null hypothesis and alternative hypothesis be for this experiment? 4.
Statistics and Probability
In a sample of 1,000 items, the mean weight and
standard deviation are 45 kgs and 15 kgs respectively.
Assuming the distribution to be normal, find the number
of items weighing between 40 kgs and 60 kgs.
[
standard deviation are 45 kgs and 15 kgs respectively.
Assuming the distribution to be normal, find the number
of items weighing between 40 kgs and 60 kgs.
[
Statistics and Probability
5. An automobile manufacturer is concerned about a possible recall of its best-selling four-door sedan. If there were a recall, there is a probability of 0.25 of a defect in the brake system, 0.18 of a defect in the transmission, 0.17 of a defect in the fuel system, and 0.40 of a defect in some other area.
a. What is the probability that the defect is the brakes and the transmission if the probability of defects in both systems simultaneously is 0.15?
b. What is the probability that there are no defects in either the brakes and the fueling system?
a. What is the probability that the defect is the brakes and the transmission if the probability of defects in both systems simultaneously is 0.15?
b. What is the probability that there are no defects in either the brakes and the fueling system?
Statistics and Probability
4. A box contains 500 envelopes, of which 75 contains P5,000 in cash, 150 contains P1,250, and 275 contain P500. An envelope may be purchased for P1,250. What is the sample space for the different amounts of money? Assign probabilities to the sample points and then find the probability that the first envelope purchased contains less than P5,000.
a. P(5000)
b. P(1250)
c. P(500)
d. P(x<5000)
a. P(5000)
b. P(1250)
c. P(500)
d. P(x<5000)
Statistics and Probability
3. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a dictionary, what is the probability that
a. all books selected are novels?
b. 2 novels and 1 book of poems are selected?
a. all books selected are novels?
b. 2 novels and 1 book of poems are selected?
Statistics and Probability
2. In a poker hand consisting of 5 cards, find the probability of holding
a. 3 kings
b. 4 hearts and 1 diamonds
a. 3 kings
b. 4 hearts and 1 diamonds
Statistics and Probability
1. A pair of fair dice is tossed. Find the probability of getting
a. A total of 6.
b. At most a total of 6.
a. A total of 6.
b. At most a total of 6.
Statistics and Probability
delivery service in Metro Manila has a mean delivery time of 55 minutes with a standard deviation of 20 minutes. Assuring that the distribution is normally distributedthen the probability that the food will be delivered for less than 25 minutes is Blank 1. Express your answer in percentage: rounded-off to two 2) decimal places.
Statistics and Probability
a certain part of , street is charged rate of 70 php per day. However. you park your car in front of a pop restaurant, you either pay nothing or 250 php per day when they are open Answer the following there is 50% chance of the pop -up restaurant opening and you decide always to park in front the pop- restaurant will you expect to spend more or less in comparison to when you parkin other street parking the long Answer Blank 1 (more less Also, How much is the difference of parking fee on the average ? Answer Blank 2
