Final ExamThe normal distribution is used to test about a population mean for large samples if the population standard deviation is known. "Large" is usually defined as _______.at least 12 at least 100 at least 30 at least 10 at least 5% of the population sizeIf x is a binomial random variable with n=10 and p=0.8, what is the probability that x is equal to 4?.232 .994 .124 .0063 .0055According to the central limit theorem, for samples of size 64 drawn from a population with µ = 800 and σ = 56, the mean of the sampling distribution of sample means would equal _______.10078080084.The number of cars arriving at a toll booth in five-minute intervals is Poisson distributed with a mean of 3 cars arriving in five-minute time intervals. The probability of 5 cars arriving over a five-minute interval is _______.0.04170.10080.28900.09405.The mean life of a particular brand of light bulb is 1200 hours and the standard deviation is 75 hours. Tests show that the life of the bulb is approximately normally distributed. It can be concluded that approximately 68%