A manufacturer of sports equipment has developed a new synthetic fishing line that

the company claims has a mean breaking strength of 8 kilograms with a standard

deviation of 0.5 kilogram. Test the hypothesis that μ = 8 kilograms against the

alternative that μ is not equal to 8 kilograms if a random sample of 50 lines is tested and found

to have a mean breaking strength of 7.8 kilograms. Use a 0.01 level of significance. What is critical region

Let E and F be two independent events with

P(E|F) + P(F|E) = 1, P(E intersection F) = 2/9 and P(F) < P(E).

Then P(E) equals

Let E and F be two events with 0 < P(E) < 1, 0 < P(F) < 1 and P(E|F) > P(E) . Let E^C and F^C denote the complement of E and F respectively. Which

of the following statements is (are) TRUE?

If a variable X 

The total number of accidents in a factory per month follows a Poisson distribution with a mean of 5.2. The probability that less than 2 accidents occur in a month is:

If X 

The chances of failing in Physics are 20%

The probability of obtaining at least two sixes when a fair die is thrown 4 times is: