Hello Tutor, Can you please answer these questions. I don't need explanation, I just need the right questions. This cours is BUSN1009 Quantitative Methods (Statistics)

The area to the left of the mean in any normal distribution is equal to 1.

Select one:

a.False

b.True

The normal distribution is an example of a continuous distribution.

Select one:

a.False

b.True

The net profit of an investment is normally distributed with a mean of $10,000 and a standard deviation of $5000. The probability that the investor's net gain will be at least $5000 is ______.

Select one:

a.0.1859

b.0.3413

c.0.4967

d.0.8413

Let X be a normal random variable with mean 20 and standard deviation 4. Find P(16 < X<22).

Select one:

a.0.5328

b.0.0328

c.0.1498

d.0.4672

The EPA has reported that the average fuel cost for a particular type of car is $800 with a standard deviation of $80. Fuel cost is assumed to be normally distributed. If a car is randomly selected, what is the probability that fuel cost would be between $700 and $900?

Select one:

a.0.7888

b.0.1056

c.0.8944

d.0.3944

If X is a normal random variable with mean 80 and standard deviation 5, calculate thezscore ifx= 92.

Select one:

a.2.1

b.2.4

c.1.2

d.12

Az-scoreis the number of __________ that a value is from the mean.

Select one:

a.miles

b.variances

c.standard deviations

d.units

Let Z be a normal random variable with mean 0 and standard deviation 1. Use the normal tables to find P(Z > -1.1).

Select one:

a.-0.1357

b.0.1357

c.0.8643

d.0.3643

A standardised normal distribution has the characteristic where the mean and variance are both equal to 0.

Select one:

a.False

b.True

Suppose you are working with a data set that is normally distributed with a mean of 400 and a standard deviation of 20. Determine the value ofxsuch that 5% of the values are less thanx.

Select one:

a.404

b.396

c.367.1

d.432.9

Which of the following is NOT a continuous distribution?

Select one:

a.normal distribution

b.uniform distribution

c.exponential distribution

d.binomial distribution

According to the Australian Department of Industry, Tourism and Resources (DITR), 8.6% of the total employment in NSW is related to manufactured exports. A sample of 200 employees in NSW is randomly selected. If X is the number of employees in the sample with jobs related to manufactured exports, then the standard deviation of X is _______________.

Select one:

a.17.20

b.15.72

c.8.60

d.3.96

For any normal distribution, any value less than the mean would have a _______.

Select one:

a.negativez-score

b.negative variance

c.positivez-score

d.negative probability of occurring

Let Z be a normal random variable with mean 0 and standard deviation 1. Use the normal tables to find P(Z < 1.3).

Select one:

a.0.0968

b.0.3485

c.0.4032

d.0.9032

The expected (mean) life of a particular type of light bulb is 1000 hours with a standard deviation of 50 hours. The life of this bulb is normally distributed. What is the probability that a randomly selected bulb would last fewer than 1100 hours?

Select one:

a.0.0228

b.0.9772

c.0.5228

d.0.4772