a.) The J.O. Supplies Company buys calculators from a Korean supplier. The probability of a defective calculator is 30%. If 14 calculators are selected at random, what is the probability that more than 6 of the calculators will be defective?
b.) An important part of the customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.70 that troubles in a residential service can be repaired on the same day. For the first six troubles reported on a given day, what is the probability that: Fewer than 3 troubles will be repaired on the same day?
c.) Given the length an athlete throws a hammer is a normal random
variable with mean 60 feet and standard deviation 2.5 feet, what is
the probability he throws it between 55 feet and 65 feet?
d.) If x is a binomial random variable where n = 100 and p = 0.30, find the probability that x is more than 25 using the normal approximation to the binomial. Check the condition for continuity correction.
In: Statistics and Probability
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Beer bottles are filled so that they contain an average of 385 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 9 ml. Use Table 1. |
| a. |
What is the probability that a randomly selected bottle will have less than 380 ml of beer?(Round intermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.) |
| Probability |
| b. |
What is the probability that a randomly selected 7-pack of beer will have a mean amount less than 380 ml? (Round intermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.) |
| Probability |
| c. |
What is the probability that a randomly selected 24-pack of beer will have a mean amount less than 380 ml? (Round intermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.) |
In: Math
Variance and standard deviation
(expected).
Hull Consultants, a famous think tank in the Midwest, has provided probability estimates for the four potential economic states for the coming year. The probability of a boom economy is
10 %,
the probability of a stable growth economy is
17%,
the probability of a stagnant economy is
55%,
and the probability of a recession is
18%.
Calculate the variance and the standard deviation of the three investments: stock, corporate bond, and government bond. If the estimates for both the probabilities of the economy and the returns in each state of the economy are correct, which investment would you choose, considering both risk and return?
|
Investment |
Forecasted Returns for Each Economy |
||||||||
|
Boom |
Stable Growth |
Stagnant |
Recession |
||||||
|
Stock |
30% |
12% |
3% |
−10% |
|||||
|
Corporate bond |
10% |
7% |
6% |
4% |
|||||
|
Government bond |
9% |
6% |
5% |
3% |
|||||
Hint: Make sure to round all intermediate calculations to at least seven (7) decimal places. The input instructions, phrases in parenthesis after each answer box, only apply for the answers you will type.
In: Finance
In cocker spaniels, solid coat color is dominant (S) over spotted coat (s). Suppose a true-breeding solid-colored dog is crossed with a spotted dog, and the F1 dogs are interbred.
What is the probability that the first puppy born will have a solid
coat?
What is the probability that the solid-coated puppy in the previous question is homozygous for the solid coat allele?
What is the probability that if four puppies are born, all of them will have a spotted coat?
What is the probability that if six puppies are born, 2 of them would have a spotted coat and 4 of them would have a solid coat? Please round your answer to the nearest hundredth or leave as a fraction.
The following two individuals are crossed: Aa Bb Cc Dd x Aa bb Cc Dd What proportion of the progeny will have the following genotype? Express as either a fraction or as a decimal] Aa Bb CC dd p=
What is the probability that one of the progeny will have all dominant OR all recessive phenotype? p=
In: Biology
An insurance company is issuing 16 independent car insurance policies. If the probability for a claim during a year is 15 percent, what is the probability (correct to four decimal places) that there will be more than two claims during the year?
In: Statistics and Probability
underneath the cap of brand x cola bottles is a chance to win a free cola. suppose that the probability of winning is 1 out of 11 when you buy 16 colas. what is the probability of winning at least once?
In: Statistics and Probability
The Smith family was one of the first to come to the U.S. They had 9 children. Assuming that the probability of a child being a girl is .5, find the probability that the Smith family had: at least 8 girls? at most 7 girls?
In: Statistics and Probability
In: Statistics and Probability
if we take a sample of 10 infants, what is the probability that their mean weight(weight is normally distributed in the population) will be above the 61st population percentile for weight?Give your answer as a probability and round to TWO decimal places.
In: Statistics and Probability
There is a project of $ 5,000 which has 2 scenarios:
Positive: probability 70% flows: $ 8,000 for 2 years
Negative: probability 30% flows $ 3,000 for 2 years If the discount rate is 14%
solve the decision tree.
In: Finance