The king, queen and jack of clubs are removed from a deck of 52 playing cards and then shuffled. A card is
drawn from the remaining cards. Find the probability of
getting:
(i) a heart
(ii) a queen
(iii) a club
(iv) '9' of red color

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.