In the following breeding scheme, what is the probability of obtaining genotype RrYyTtss in the F2?
P RRYYTTSS x rryyttss
F1 RrYyTtSs x RrYyTtSs
F2
In: Biology
The mean of a normal probability distribution is 410; the standard deviation is 105. a. μ ± 1σ of the observations lie between what two values? Lower Value Upper Value b. μ ± 2σ of the observations lie between what two values? Lower Value Upper Value c. μ ± 3σ of the observations lie between what two values? Lower Value Upper Value
In: Statistics and Probability
Here is a statement:
“The concepts of probability and statistics are powerful ones and contribute extensively to the solutions of many types of engineering problems”.
What would be the best way to answer the following:
Why, in your own words, do you think in your specifically engineering professional practice, probability and statistics will help you to be successful?
In: Statistics and Probability
A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years.
a.What proportion of the plan recipients would receive payments beyond age 75?
b.What proportion of the plan recipients die before they reach the standard retirement age of 65? 0.1957 using Excel or 0.1949 using Table E.2
c.Find the age at which payments have ceased for approximately 90% of the plan participants.
In: Statistics and Probability
Find/discover an example of statistics & probability in the news to discuss the following statement that represents one of the objectives of statistics analysis: "Statistics and Probability help us make decisions based on data analysis." Briefly discuss how the news item or article meets this objective. Cite your references. Also, keep in mind and discuss how the impact of your study on your patients or staff might differ if you found it in a journal.
In: Statistics and Probability
In Egg Harbor Township, 25% of registered voters are republicans. What is the probability that in a random sample of 300 voters: a) explain why a normal approximation to the binomial is appropriate b) at least 95 are republicans c) exactly 100 are democrats? Is this unusually low? Explain d) less than 80 are republicans.
In: Statistics and Probability
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is
0.267.
Suppose you sit on a bench in a mall and observe people's habits as they sneeze.
(a)
What is the probability that among
10
randomly observed individuals exactly
4
do not cover their mouth when sneezing?
(b)
What is the probability that among
10
randomly observed individuals fewer than
6
do not cover their mouth when sneezing?
(c)
Would you be surprised if, after observing 10
individuals, fewer than half covered their mouth when sneezing? Why?
In: Statistics and Probability
Given a group of four people, find the probability that: (a) at least two have the same birth month (b) at least two have the same birthday Assume each day or month is equally likely. Ignore leap years. [Hint: First calculate the probability that they all have different birthdays. Similar to Q5 but with either 12 or 365 hotels.]
Answer to a) should be 0.427
Answer to b) should be 0.00164
In: Statistics and Probability
Given a binomial distribution with a sample of size 15 trees and the probability of damage by fungi of 0.10, find
a. P(# damaged trees = 3) =
b. P(# of damaged trees is less than 3) =
c. P( at least 3 but no more than 6 damaged trees are found)=
d. the population mean
e. population variance
In: Statistics and Probability
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze.(a) What is the probability that among 18 randomly observed individuals exactly 4 do not cover their mouth when sneezing?(b) What is the probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?(c) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? Why?
(c) Fewer than half of 18 individuals covering their mouth would/would not be surprising because the probability of observing fewer than half covering their mouth when sneezing is ………., which is an usual/unusual event.
In: Statistics and Probability