Question

Question 1

The binomial formula has two parts. The first part of the binomial formula calculates the number of combinations of X successes. The second part of the binomial formula calculates the probability associated with the combination of success and failures. If N=4 and X=2, and p = .5, what is that probability from the second part of the formula?

Group of answer choices

.0625

.5

.3750

.1563

Question 2

Normal Distribution Problem. The birth weight is of newborn babies is approximately normally distributed with a mean of 3.39 kg and a standard deviation of .55kg. Note: my probabilities are exact probabilities. Solutions using the standard normal table will be close.

Low birth rate babies are strongly associated with infant mortality and other complications. A baby that weighs less than 2.5kg is considered low birthweight. What is the probability of a baby less than 2.5kg?

Group of answer choices

1 - .8944

.0125

.4472

.0528

Question 3

Normal Distribution Problem. The birth weight is of newborn babies is approximately normally distributed with a mean of 3.39 kg and a standard deviation of .55kg. Note: my probabilities are exact probabilities. Solutions using the standard normal table will be close.

What is the probability of a baby born weighing less than 3kg?

Group of answer choices

.7609

.5217

.2391

.2609

Question 4

Normal Distribution Problem. Red Blood Cell Counts are expressed millions per cubic millimeter of whole blood. For healthy females, x has a approximately normal distribution with mu = 4.8 and sigma =.3. Note: my probabilities are exact probabilities. Solutions using the standard normal table will be close.

What is the red blood count at the 80^th percentile?

Group of answer choices

4.6427

5.1000

5.0525

.5244

Question 5

Normal Distribution Problem. The birth weight is of newborn babies is approximately normally distributed with a mean of 3.39 kg and a standard deviation of .55kg. Note: my probabilities are exact probabilities. Solutions using the standard normal table will be close.

What is the probability of a baby born weighing more than 5.00 kg?

Group of answer choices

.0017

1 - .4983

2.927

.4983

Answer 1

Solution-1:

n=4

x=2

p=0.5

Rcode:

pbinomGC(c(2,2),region="between",size=4,prob=0.50,graph=TRUE)

.3750

Solution-2:

Rcode:

library(tigerstats)
pnormGC(bound=2.5,region="below",mean=3.39,sd=0.55,graph=TRUE)

0.0528

Solution-3:

library(tigerstats)
pnormGC(bound=3,region="below",mean=3.39,sd=0.55,graph=TRUE)

0.2391

Solution-4:

qnormGC(0.80,region="below",mean=4.8,sd=0.3,graph=TRUE)

5.0525

Solution-5:

Rcode:

pnormGC(bound=5,region="above",mean=3.39,sd=0.55,graph=TRUE)

0.0017