During the summer months ( December to February. Inclusive), an average of five marriages per month...

 

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During the summer months ( December to February. Inclusive), an average of five marriages per month take place in a small city. Assuming that these marriages occur randomly and independently of one another, find the probability of the following occurring: (a) Fewer than four marriages will occur in December. (b) At least 14 but not more than 18 marriages will occur during the entire three months of summer. (c) Exactly 10 marriages will occur during the two months of January and February. During the summer months ( December to February. Inclusive), an average of five marriages per month take place in a small city. Assuming that these marriages occur randomly and independently of one another, find the probability of the following occurring: (a) Fewer than four marriages will occur in December. (b) At least 14 but not more than 18 marriages will occur during the entire three months of summer. (c) Exactly 10 marriages will occur during the two months of January and February.