Given a normal distribution with μ=50 σ=4, and given you select a sample of n=100, complete parts (a) through (d).

**a. **What is the probability that X is less than 49?

P(X<49)=___________

(Type a integer or decimal rounded to four decimal places as needed.)

**b. **What is the probability that X is between 49 and 49.5?

P(49<X<49.5)=_____________

( Type a integer or decimal rounded to four decimal places as needed.)

**c. **What is the probability that X is above 50.5?

P(X>50.5)equals=_____________

( Type a integer or decimal rounded to four decimal places as needed.)

**d. **There is a 35% chance that X is above what value?

X=_______________

( Type a integer or decimal rounded to two decimal places as needed.)

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