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What is the expected return of the following investment?
Probability
Payoff
0.4
0.2
40%
10%
0.3
2%
A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check.
Based on a poll, among adults who regret getting tattoos, 12% say that they were too young when they got their tattoos. Assume that eight adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
A local pharmaceutical company believes it has a 40% chance of being successful on bidding a contract with the Department of Health that yields a profit of 3,000,000 php. Assuming that it costs 500,000 php in consultancy fees to prepare the bid. What is the expected gain or loss for the company if it decides to bid on the contract?
Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with probability of success (correct) given by p=0.55. Find the indicated probability for the number of correct answers.
Find the probability that the number x of correct answers is fewer than 4.
P(X<4)=
nothing
(Round to four decimal places as needed.)
A manufacturer of computer chips claims that the probability of a defective chip is 0.013. The manufacturer sells chips in batches of 260 to major computer companies.
a. How many defective chips would you expect in a batch? (Round the final answer to 2 decimal places.)
Number of chips
b. What is the probability that none of the chips are defective in a batch? (Round the final answer to 4 decimal places.)
Probability
c. What is the probability at least one chip is defective in a batch? (Round the final answer to 4 decimal places.)
Probability
Suppose that we want to list A, B, C, D, E, F into a sequence in a way
that A and B are placed on the same side of C. For example, A, D, B, E, F, C and F, E, D, C, B, A
would be both desirable sequences because A, D, B, E, F, C has A and B on the left side of C and
F, E, D, C, B, A has A and B on the right side of C. However, A, E, C, F, B, D would not be a
desirable sequence. Note that A B and C do not have to be adjacent to each other. How many
different sequences can you make?
Three cocks A, B and C bake a special kind of cake with respective probabilities as 0.02, 0.03 and 0.05 it fails to rise. In the restaurant where they work, A bakes 50 % of these cakes, B bakes 30 % of these cakes and C bakes 20 % of these cakes. What proportion of failure caused by A, B and C?
Maximum breadth of samples of male Egyptian skulls from 4000 B.C. and 150 A.D.
, based on data from Ancient Races of the Thebaid by Thomson and Randall-Maciver:
4000 B.C. : 131 119 138 125 129 126 131 132 126 128 128 131
150 A.D. : 136 130 126 126 139 141 137 138 133 131 134 129
Changes in head sizes over time suggest interbreeding with people from other regions.
Find the sample standard deviation and use a 90% confidence interval to determine
whether the head sizes appear to have changed from 4000 B.C. to 150 A.D. Explain your
result.
2.1 A farming cooperative in the KwaMashu buys wheat seeds for its farmer members from seed merchants. A particular seed merchant claims that their wheat seeds have at least an 80% germination rate. Before the farming cooperative will buy from this seed merchant, they want to verify this claim. A random sample of 320 wheat seeds supplied by this seed merchant was tested, and it was found that only 230 seeds germinated. Is there sufficient statistical evidence at the 3% significance level to justify the purchase of wheat seeds from this seed merchant? Use the p-value approach to conduct a hypothesis test for a single proportion, and report the findings to the KwaMashu farming .
