Answer:
Approximately, 159 men weighs more than 165 pounds and 159 men weighs less than 135 pounds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 150 pounds
Standard Deviation, σ = 15
We are given that the distribution of weights of 1000 men is a bell shaped distribution that is a normal distribution.
Formula:

P( men weighing more than 165 pounds)
P(x > 165)
Calculation the value from standard normal z table, we have,

Approximately, 159 men weighs more than 165 pounds.
P(men weighing less than 135 pounds)
P(x < 135)
Calculation the value from standard normal z table, we have,

Approximately, 159 men weighs less than 135 pounds.