### Calculating distribution by normal curve

Assignment Help Basic Statistics
##### Reference no: EM1318618

Q1) Consider random variable x=time required for college student to complete standardized exam. Assume that for population of students at school, distribution of x is well approximated by normal curve with mean 48 min and standard deviation 4 min.

a)If this exam permits 55 mins, what proportion of students at this school would be not capable to finish exam in the allotted time?

b) How much time is needed for fastest 2% of all students to complete exam?

Q2) On Blue Rabbit Slope, probability that new skier will required to be carried to the First Aid Station is 0.25. When there are new skiers in group of 40 and if we let X be number of new skiers needing to be driven to First Adis Station, find out the mean and standard deviation of X?

b) On Red Fox Slope, probability that new skier will require to be performed to the First Aid Station is 0.2. When there are new skiers in a group of 30 and if we let Y be number of new skiers needing to be driven to First Aids Station, find out the mean and standard deviation of Y?

c) Let Z be number of injuries from both slopes, find out mean and standard deviation of Z using answers of (a) and (b).

d) When 40 skiers are sent down from top of Blue Rabbit Slope, they are sent one at time. Find out the probability that first one needing to be driven to First Aid Station is the 5th one to be sent down the slope?

### Write a Review

#### The mean crash damages the similar for these three vehicles

In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Are mean crash damages the sa..

#### Process capability index and performance

A process has a capability index of 0.40. This index is interpreted to mean that the process is:

#### Estimating the probability value using the given data

If there are 5 choices for a question and there is a 50% chance that the student knows the answer, what is the probability that the student knew the answer to a question he correctly answered?

#### Distribution of the average or median

Suppose that you select a 50 families sample. Which is the form expected from the distribution of the average or median of the sample?

#### Mentioning the critical value of test statistic

Mention the critical value of test statistic (Or give the p-value of the test.)

#### Estimating the sample size based on normal distribution

Karefree State University has an enrollment of 18,000. Researchers took a sample of 900 and found 477 students wanted a Field Hockey team. Construct the 95% and 99% Interval estimates for the population proportion.

#### Determining sample size to obtain the error

What sample size would be required to obtain the error of ±10 square millimeters with 99 percent confidence?

#### If the mean of a normal distribution is negative

Continuous random variable is uniformly distributed between a and b. The probability density function between a and b is.

#### Confidence interval for the difference in the proportion

Find a 95% confidence interval for the difference in the proportion of deaths between the streptokinase and the control group.

#### Nonparametric tests utilization

When the non-parametric statistics utilized? Write down an example.

#### What is the probability that separates the bottom

What is the probability that separates the bottom 25 percent from the rest of the distribution.

#### Waiting time of customers for service normal distribution

The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, 