Normal Distribution

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.MD.A.3

Given a continuous data with X~N(30,25). Find P(27<X<32).

• 0.3446

• 0.2743

• 0.3811

• 0.0703

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.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Given X~B(1200, 0.15). Find mean.

• 180

• 153

• 120

• 600

If X~B(600, 0.2), find variance.

• 96

• 97

• 120

• 130

Find a if  $P(Z<a)=0.35.$  

• 0.3632

• 0.3853

• -0.3853

• 0.6368

Find the value of m if $P\left(\left|Z\right|<m\right)=0.8$ .

• 1.0364

• 1.2816

• 1.6449

• 0.4602