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A ball kicked horizontally at 10.0m/s from a cliff 80m high. How far from the base of the cliff will the stone strike the ground?
Compute the 95 percent interval estimate of ų given ó = 9, n=40 and x= 115
- A result is significant at the 0.01 level. Explain why it must also be significant at the 0.05 level.
- Why is it important to report the P-value or the test statistic when presenting the results of a hypothesis test?
1. A fair die is rolled eight times. Find the probability that no more than 2
sixes come up.
2. A consulting group believes that 70% of the people in a certain city are
satisfied with their health coverage. Assuming that this is true, find the probability
that from a random sample of 15 people.
a. Exactly 10 are satisfied with their health coverage?
b. At least 2 are satisfied with their health coverage?
c. What is the expected number of people out of 15 that are satisfied with their
health coverage?
3. You observe that the number of telephone calls that arrive each day on
your mobile phone over a period of a year, and note that the average is 3 per day.
Let X be the number of calls that arrive in any one day. Then what is the probability
of receiving at most 2 calls in any one day? at least 2 calls in any one day?
Pamela borrows an amount of money for emergency house repairs. The interest on the loan is compounded
quarterly. After four years the debt accumulated by R7 980,00 to the amount of R32 923,00. The yearly
interest rate, expressed as a percentage and rounded to two decimal places, at which the money was borrowed,
is
25. For each of the linear operators below, determine whether it is normal, self adjoint, or neither (a) T : R2 → R2 defined by T(x, y) = (2x − 2y, −2x + 5y). (b) T : C 2 → C 2 defined by T(x, y) = (2x + iy, x + 2y).
Reflect on the concept of function. What concepts (only the names) did you need to accommodate the concept of function in your mind? What is the simplest function you can imagine? In your day to day, is there any occurring fact that can be interpreted as a function? Is it possible to view a function? What strategy are you using to get the graph of a function?
A machine producing hair pins produces 1 defective out of 400 on an average. If 100 hairpins are packed in each box, what is the probability that any given box of hairpins, hairpin will contain
1)No defectives
2)At least one defective
3)At most 2 defectives
In an oil exploration in Arabic sea, suppose that the probability of an oil strike is 1 in 500 drilling. What is the probability of having exactly 1 oil producing well in 800 explorations.
No. of birthday parties observed in a class is a poisson random variable with an average of 6/month. what is the probability that there will be 3 parties in a day?
