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Suppose that a disease is inherited via a dominant mode of inheritance and that only one
of the two parents is affected with the disease. The implications of this mode of inheritance
are that the probability is 1 in 2 that any particular offspring will get the disease.
a) What is the probability that in a family with two children, both siblings are affected?
b) What is the probability that exactly one sibling is affected?
c) What is the probability that neither sibling is affected?
d) Suppose the older child is affected. What is the probability that the younger child is
affected?
e) If A, B are two events such that A = {older child is affected}, B = {younger child is
affected}, then. Are the events A, B independent?
A normally distributed data has a mean of 200 and a standard deviation of 20.What is the lowest value that belongs to the upper 10% of the distribution?
10.Phenomena such as waiting times and equipment failure times are commonly modelled by exponentially decreasing probability density functions. Find the exact form of such a function.
Consider a population consisting of 1 2 3 4 and 5, suppose sample size of 2 are drawn from the population what is the mean, variance and standard deviation of the sampling distribution?
An investor puts $2,000 into a deposit account with a fixed rate of return of 10% per year. A second sum of $1,000 is invested in a fund with an expected rate of return of 16% and a standard deviation of 8% per year. a. Find the expected value of the total amount of money this investor will have after a year. b. Find the standard deviation of the total amount after a year.
The article “A Thin-Film Oxygen Uptake Test for the Evaluation of Automotive Crankcase Lubricants” reported the following data on oxidation-induction time (min) for various commercial oils: 87 103 130 160 180 195 132 145 211 105 145 a. Calculate the sample variance and standard deviation. b. If the observations were reexpressed in hours, what would be the resulting values of the sample variance and sample standard deviation? Answer without actually performing the reexpression.
If a cup of ice cream is selected. what is the probability that the cholesterol content will be more than 670mg?
The average pre-school cost for tuition fees last year was ₱14,200. The following year, 20
institutions had a mean of ₱13,100 and a standard deviation of ₱2,250. Is there sufficient evidence
at 𝛼= 0.10 level of significance to conclude that the mean cost has increased?
SOLUTION:
Step 1 𝐻0:____________________________________________________
𝐻𝑎: ____________________________________________________
Step 2. 𝛼= _________
Step 3. 𝑧𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 = _________
Step 4. Compute the test statistic.
Step 5. Decision Rule:_______________________
Step 6: Conclusion.
what's the probability of Rolling an even number on a die and then flipping a coin that lands on heads give your answer as a reduced fraction
A population consist of numbers 2 5 6 8 and 9, construct the sampling distribution of sample mean with sample size of 3. make a histogram of the distribution.
