Normal CDF and Inverse Norm

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inches. If waist sizes are normally distributed, what is the probability of teenagers who will have waist sizes greater than 31 inches?

• 0.9236

• 0.1050

• 0.1600

• 0.0764

Tags

CCSS.HSS.ID.A.4

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the probability that a randomly selected day will have a temperature of more than 17 degrees?

• 0.0062

• 0.0766

• 0.9234

• 0.9938

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Alex's baby was in the 96th percentile for height when she was born. Given σ = 2 inches, and µ = 20 inches, how long was Alex's baby when she was born?

• 23.5 inches

• 20.15 inches

• 17.45 inches

• 37 inches

Tags

CCSS.HSS.ID.A.4

Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).

Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.

• 165

• 166

• 170

• 162

Tags

CCSS.HSS.ID.A.4

The marks obtained by the students are normally distributed with mean 61 marks and variance 100 marks. Find the probability of the students obtain at least 85 marks.

• 0.4207

• 0.0082

• 0.1112

• 0.9918

Tags

CCSS.HSS.ID.A.4

A continuous random variable is normally distributed with mean 145 and standard deviation is 5. Find P(136<X<140).

• 0.8054

• 0.8772

• 0.1228

• 0.1587

Tags

CCSS.HSS.ID.A.4

The height of students is normally distributed with mean 145 and variance 25.
Find k if P(X $\le$  k)=0.9582

• 153.65

• 154.65

• 155.65

• 149.79

Tags

CCSS.HSS.ID.A.4

The probability that a new vaccine can cure a disease is 0.85. If 800 patients are given the vaccine, find the probability that more than 690 patients are cured.

• 0.4207

• 0.0082

• 0.1112

• 0.1492

Tags

CCSS.HSS.ID.A.4

In a research, 30% of heavy smokers are suffering from lung cancer. If 240 heavy smokers are chosen at random, find the probability that 70 to 91 are suffering from lung cancer.

• 0.3632

• 0.6338

• 0.00298

• 0.36022

Tags

CCSS.HSS.ID.A.4

What is the probability that your teacher will have a date on February 14?

• 0%

• 50%

• 75%

• 99.99%

Tags

CCSS.7.SP.C.5