1. The number of birds that visit your garden per day follows a Poisson distribution. On average, 2.7 birds visit your garden per day. What is the probability that exactly 4 birds visit your garden today?

2. A population shows a population mean and a standard deviation of 120 and 35, respectively. Random samples of size 49 are taken from this population. The distribution of the population is unknown. The mean and the standard error of the sample mean are:

3.The probability that a person catches a cold during the cold and flu season is 0.7. Assume that 10 people are chosen at random. What is the probability that exactly six of them will catch a cold?

4. Let the random variable Z follow a standard normal distribution. Find the value k, such that P(Z > k) = 0.79.