2a) The number of flowers per square meter in Sarah’s garden has a Poisson distribution with mean 0.35. Her garden is covered with 150 square meters of grass. Find lambda λ? 2b) The number of flowers...

2a)    The number of flowers per square meter in Sarah’s garden has a Poisson distribution with mean 0.35.  Her garden is covered with 150 square meters of grass. Find lambda λ?

2b)  The number of flowers per square meter in Sarah’s garden has a Poisson distribution with mean 0.35.  Her garden is covered with 150 square meters of grass. Using Normal approximation, we will need to find the probability that the Sarah’s garden will contain less than 45 flowers. First graph and answer what is the continuity correction?

2c)      Using the previous results for lambda and continuity correction,

find z, then graph and use your table to find φ table value of
z

Write down your final answer for the probability that Sarah’s garden will contain less than 45 flowers as a decimal number with 4 decimal places.