Suppose that the probability distribution function for the life expectancy of a light bulb is giv...
4. In proof testing of light bulbs, the probability that any light bulb will fail is 0.05. Suppose a box contains 10 light bulbs, all which are independent of one another. A box of light bulbs can be sold only if all its light bulbs work. (a) Let X be the number of failed light bulbs. What distribution does X follow? State and name the parameters (b) How many light bulbs would you expect to fail, and what is the...
The life expectancy of a particular brand of light bulbs is normally distributed with a mean of 1500 hours and a standard deviation of 75 hours. What is the probability that a bulb will last between 1500 and 1650 hours?
Use R 1. A light bulb manufacturer claims their light bulbs as for 1,000 hours. You sample 50 light bulbs and you find that the sample average light bulb lifetime duration is 955 hours. Assume that you know the population standard deviation, and that it is 220 hours. That is n 50、 x"= 955, σ = 220 Test the null hypothesis Ho: μ-1,000 against the alternative hypothesis Ha: μ < 1,000 at the 0.05 significance level a. Calculate the critical...