1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
amid [387]
2 years ago
7

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

lt; 80). Group of answer choices
Mathematics
1 answer:
elixir [45]2 years ago
5 0

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.

You might be interested in
What is the value of p? A. 43 B. 47 C. 133 D. 90
Karo-lina-s [1.5K]
Your answer will most likely be A
8 0
3 years ago
Read 2 more answers
I need to know what to do
Vadim26 [7]

Answer:

210000*1.125^t=f(t)


7 0
2 years ago
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machin
Schach [20]

Answer:

3 machine

Step-by-step explanation:

It is given that 6 machine each working at the same rate can complete the work in 12 days

We the has to complete in 8 days

Let we need x extra machine to complete the work in 8 days

So total number of machines =x+6

Now according to man work day equation M_1D_1=M_2D_2

6\times 12=(x+6)\times 8

8x+48=72

8x=24

x=3 machine

7 0
3 years ago
Meenu bought two fans for ₹1200 each. She sold one at a loss of 5% and the other at a profit of 10%. Find the selling price of e
Vinvika [58]
<h3><u>Solution: </u></h3>

Overall<u> </u>CP of each fan = ₹1200 .

One is sold at a loss of 5% .

  • ( This means if CP is ₹100, SP is ₹95 ) .

• Therefore,When CP is ₹1200 , Then SP is ₹ 1140.

=  >  \frac{95}{100}  \times 1200 = 1140

Also,Second fan is sold at a profit of 10% .

  • It means , If CP is ₹100 , SP is ₹110.

Therefore , When CP is ₹1200 , Then SP is ₹1320.

<u>• We need to find the combined CP and SP to say whether there was an overall profit or Loss.</u><u>.</u>

  • Total CP = ₹ 1200 + ₹ 1200 = ₹ 2400.
  • Total SP = ₹ 1140 + ₹ 1320 = ₹ 2460.

Since total SP > total CP , A profit of ₹ ( 2460 - 2400 ) or ₹60 has been made ..

<h3>Hope this helps you :)</h3>
4 0
2 years ago
Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
Kipish [7]

Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

5 0
2 years ago
Other questions:
  • Only 4 true or false questions :3
    5·2 answers
  • LOAD WEB FONTLOAD WEB FONT LOAD WEB FONT LOAD WEB FONT
    6·2 answers
  • Simplify the expression. (3.14×107)×(1.3×10−3)÷0.2<br> Scientific notation PLS!
    9·1 answer
  • Determine the end behavior of the following monomial functions. (That is, does the function output increase without bound (→[inf
    5·1 answer
  • To show the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal. Which two
    7·2 answers
  • Sal bought a house for 78,524.60 Twelve years later he sold the house for 2 2/3 times as much. What was the sale price of the ho
    13·1 answer
  • Which equation correctly applies the distributive property?
    9·1 answer
  • Write each exponential function. <br>​
    11·1 answer
  • Victoria purchased 0.6lbs of deli ham for $4.71. What is the cost of ham per pound?
    11·1 answer
  • Solve for H <br> H=??????
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!