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Normal Approximation of the Sampling Distribution of a Sum

Suppose that the expected number of phone calls that are handled by a switchboard in each second is 5.35. Assume that the distribution of the number of phone calls per second follows the Poisson distribution. Tasks 10-12 refer to this information.

a)The number of phone calls that the switchboard is expected to handle in 1 minute is_____

b)The 0.80-percentile of the number of calls per minute is (approximately) equal to: (Use the Normal approximation. The answer may be rounded up to 3 decimal places of the actual value.)____

c)The probability that the switchboard will need to handle no more than 300 call in a minute is: (Use the Normal approximation, without a continuity correction. The answer may be rounded up to 3 decimal places of the actual value.)_____

Please kindly include detailed explanations and workings and if possible sources l can consult with to refine my understanding, thank you.