For each of the following crosses, what is the probability that a given child will have the exact same phenotype as either or both of the two parents? How many phenotypically different kinds of progeny could potentially result from each cross? How many genotypically different kinds of progeny could potentially result from each cross? You can assume capital letters represent dominant alleles and that the loci assort independently.
a) Aa Bb cc dd × aa bb Cc Dd
b) AA BB CC DD × aa bb cc dd
c) Aa Bb Cc Dd × Aa Bb Cc Dd
In: Biology
The probability of winning a raffle with a single ticket is 1 in 400,000,000. In May and June, 200,000,000 tickets were bought for the raffle.
1. Assume the tickets win or lose independently of each other and give the exact probability that there was no winner during the two months.
2. Only using a basic scientific calculator, give an approximation to the same question from part 1. Explain why this approximation is a good one.
Explain your work please.
In: Statistics and Probability
Suppose that the probability that a fluorescent light will have a useful life of at least 500 hours is 0.85. Suppose you have 10 of these fluorescent lights in your workshop. Find the following probabilities:
a. The probability that 8 of these will have a useful life of at least 500 hours.
b. The probability that at most 2 of them will not have a useful life of 500 hours.
In: Statistics and Probability
What is “probability”, what are “odds”, and what are the differences between them?
In: Statistics and Probability
In: Statistics and Probability
Fifteen DVDs are placed on a shelf in random order.
a) What is the probability that you favourite DVD is first or your least favourite DVD is last?
b) How would the probability change if you would not want both your favourite DVD to be first and your least favourite DVD last?
In: Statistics and Probability
Suppose the probability of a customer placing an order at a pizza place for a pepperoni pizza is 0.6, and for something else with probability 0.4. We assume if a customer calls the pizza place, he orders something, and that all incoming calls are indepen- dent. What is the probability that the pizza place will get the first pepperoni pizza order on the 4th call of the day?
In: Statistics and Probability
The population proportion is 0.60. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? Round your answers to 4 decimal places. Use z-table.
| A.) n=100 | |
| B.) n= 200 | |
| C.) n=500 | |
| D.) n=1,000 |
In: Statistics and Probability
The population proportion is 0.40. What is the probability that a sample proportion will be within ±0.04 of the population proportion for each of the following sample sizes? (Round your answers to 4 decimal places.)
(a)n = 100
(b) n = 200
(c) n = 500
(d) n = 1,000
(e) What is the advantage of a larger sample size?
In: Statistics and Probability
Risk may be assessed as the product of a disaster’s probability multiplied by the vulnerability and divided by the capacity to adequate response, a financial institution operating in Tampa (Florida) as compared to a financial institution in New York. What difference should they have in their risk plan towards disaster recovery and how will they ensure that customers will have access to their money when a hurricane comes through?
In: Accounting