Question 1

A hospital records the number of patients admitted each day. If $$X$$ represents the number of admissions and the probability that $$X \u003c 20 is$$ $$0.25$$, what is the probability that $$X \geq 20$$?

Accepted Answer

$$0.75$$

Question 2

Suppose the probability that a randomly selected chemical reaction yields less than $$150$$ grams of product is $$0.10. $$What is the probability that the yield is at least $$150$$ grams?

Accepted Answer

$$0.90$$

Question 3

Given a random variable $$X$$ with $$P(X \u003e 350) = 0.20$$, what is $$P(X \leq 350)$$?

Accepted Answer

$$0.80$$

Question 4

If $$P(X  320) = 0.18$$, what is the probability that $$11 \leq X \leq 320$$?

Accepted Answer

$$0.72$$

Question 5

A university tracks student grades. If $$P(X  3.0) = 0.30$$, what is the probability that $$2.0 \leq X \leq 3.0$$?

Accepted Answer

$$0.45$$

Question 6

If the probability that a randomly chosen patient has a blood pressure less than $$120$$ mmHg is $$0.35$$, what is the probability that their blood pressure is at least $$120$$ mmHg?

Accepted Answer

$$0.65$$

Question 7

Suppose $$P(X \u003e 1.28) = 0.10$$ for a standard normal variable $$X. $$What is $$P(X \leq 1.28)$$?

Accepted Answer

$$0.90$$

Question 8

A factory produces widgets. If $$P(X  400) = 0.20$$, what is the probability that $$200 \leq X \leq 400$$?

Accepted Answer

$$0.65$$

Question 9

If $$P(X  350) = 0.20$$, what is the probability that $$150 \leq X \leq 350$$?

Accepted Answer

$$0.70$$

Question 10

A student scores between $$250$$ and $$320 on a $$test. If $$P(X  320) = 0.18$$, what is the probability that $$250 \leq X \leq 320$$?

Accepted Answer

$$0.27$$

Question 11

If $$P(X  55) = 0.25$$, what is the probability that $$12 \leq X \leq 55$$?

Accepted Answer

$$0.65$$

Question 12

A random variable $$X$$ has $$P(X  320) = 0.18. $$What is the probability that $$32 \leq X \leq 320$$?

Accepted Answer

$$0.34$$

Question 13

If $$P(X  62) = 0.13$$, what is the probability that $$6 \leq X \leq 62$$?

Accepted Answer

$$0.82$$

Question 14

A random variable $$X$$ has $$P(X  30) = 0.10. $$What is the probability that $$20 \leq X \leq 30$$?

Accepted Answer

$$0.65$$

Question 15

If $$P(X  3.0) = 0.10$$, what is the probability that $$1.2 \leq X \leq 3.0$$?

Accepted Answer

$$0.60$$

Question 16

A random variable $$X$$ has $$P(X  320) = 0.18. $$What is the probability that $$11 \leq X \leq 320$$?

Accepted Answer

$$0.72$$

Question 17

If $$P(X  62) = 0.13$$, what is the probability that $$6 \leq X \leq 62$$?

Accepted Answer

$$0.82$$

Question 18

A random variable $$X$$ has $$P(X  55) = 0.25. $$What is the probability that $$12 \leq X \leq 55$$?

Accepted Answer

$$0.65$$

Question 19

If $$P(X  320) = 0.18$$, what is the probability that $$32 \leq X \leq 320$$?

Accepted Answer

$$0.34$$

Modeling Random Events: The Normal and Binomial Models – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards