$8000 at 3% annually for 4 years

Assume that the random variable X is normally distributed, with mean 60 and standard deviation 16. Compute the probability P(X &

elixir [45]

Answer:

P(X < 80) = 0.89435.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 60, \sigma = 16$

P(X < 80)

This is the pvalue of Z when X = 80. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{80 - 60}{16}$

$Z = 1.25$

$Z = 1.25$ has a pvalue of 0.89435.

So

P(X < 80) = 0.89435.

5 0

2 years ago

Use the game spinner for questions 1-4. In your final answer, include all necessary calculations.

IrinaVladis [17]

Answer:

P (Even number) = 1/2

P(spinner will land on an odd number) = 1/2

P(spinner will not land on 2 or 3) = 3/4

P(spinner will not land on a multiple of 3) = 3/4

Step-by-step explanation:

Here, while spinning the spinner total possible outcomes

are 8 = {1,2,3,4,5,6,7,8}

Now, $\textrm{P(E)} = \frac{\textrm{Number of favorable outcomes }}{\textrm{Total numberof outcomes}}$

a) E: Probability of getting even number

Favorable outcomes are {2,4,6,8}

Hence, $P(E) = \frac{4}{8} = \frac{1}{2}$

b)E: Probability that the spinner will land on an odd number.

Favorable outcomes are {1,3,5,7}

Hence, $P(E) = \frac{4}{8} = \frac{1}{2}$

c) E: Probability that the spinner will not land on 2 or 3

Favorable outcomes are {1, 4,5,6,7,8}

Hence, $P(E) = \frac{6}{8} = \frac{3}{4}$

d) E: Probability that the spinner will not land on a multiple of 3

Favorable outcomes are {1,2,4,5,7,8}

Hence, $P(E) = \frac{6}{8} = \frac{3}{4}$

3 0

2 years ago

Please look at the picture. I answered b but it was incorrect. <br> Please help.

LuckyWell [14K]

9514 1404 393

Answer:

d. 14 -3x

Step-by-step explanation:

If you want to substitute for y in the second equation, you must use the first equation to find an expression for y.

3x +y = 14 . . . . . . first equation

y = 14 -3x . . . . . . subtract 3x from both sides

This gives you the expression for y that you want to use for substitution. It matches the expression of choice D.

y = 14 -3x . . . . matches D

6 0

3 years ago

Write an expression for the sequence of operations described below.1)) multiply 7 by 8, then divide f by the resultDo not simpli

nignag [31]

We need to write an expression for the operations:

$\begin{gathered} \text{ multiply 7 by 8} \\ \\ \text{dived f by the result} \end{gathered}$

The first operation (multiplication) can be represented as:

$7\cdot8$

The second operation (the division of f by the previous result) can be represented as:

$f\div(7\cdot8)$

Notice that we need the parenthesis to indicate that the product is the first operation to be done.

Answer:

$f\div(7\cdot8)$

6 0

1 year ago

Which of the following variables is Nominal? Select one: a. Age (in years) b. Age (grouped as: less than 18, 18-29, 30-59, 60 an

Arada [10]

Answer:

c. Car color (e.g. red, blue, grey)

Step-by-step explanation:

There are four level of measurements: Ordinal, Nominal, Interval and Ratio.

Ordinal variables are categorical variables and have a ordered categories. For example,the health of patients: Excellent, Good, Average and Poor.
Nominal variables are also categorical variables but they do not have a ordered category or any numerical value. For example, Gender: Male or Female, or Occupation:, Accountant, Clerk, Manager.
Interval variable are variables that take numerical values. These variables are ordered and the difference between two values is meaningful. For example, temperature in degrees F.
Ratio variable are type of interval variables but they do not have a variables with a 0 measurement. For example, height, age, money.

Considering all the option:

(a) Age (in years) is an interval variable.

(b) Age grouped as < 18, 18 - 29, 30-59, 60 > are basically ordered categorical variables. Thus, they are ordinal variables.

(c) Car Color (red, blue, grey) are nominal variable because they are not ordered and cannot be measured.

(d) Letter grade in a course (A+, A, A-, B+, B) are also ordinal variables because they are ordered and represent the performance quality of the student.

Thus, the correct answer is (c).

4 0

3 years ago