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
Elanso [62]
3 years ago
8

A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and standard deviation of 8. A second ran

dom sample of size n2 = 9 is taken independently from another normal population with mean 70 and standard deviation of 12. Let X1 and X2 be the two sample means. Find
(a) The probability that X1 − X2 exceeds 4.
(b) The probability that 3.5 < X1 − X2 < 5.5.

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

the answer is in the attached image below

Step-by-step explanation:

You might be interested in
25/3 ÷ x = 7/3 ÷8.1<br><br> I don't get it, what's the answer??
Viktor [21]

Answer:

x=28.93(rounded) x=28.929(not rounded)

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
94b + 48 &lt; b + 54 &lt; 94b + 82
Softa [21]

DATES: The rule amendments will become effective October 29, 1999. Section IV of this release contains information on compliance dates.
3 0
3 years ago
What does the red x stand for in this line plot?<br><br> Can anyone help me pls
andrey2020 [161]
Boom. Answer. I hope I helped!

7 0
3 years ago
A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly two he
Tems11 [23]

Answer:

a. 45

b. 176

c. 252

Step-by-step explanation:

First take into account the concept of combination and permutation:

In the permutation the order is important and it is signed as follows:

P (n, r) = n! / (n - r)!

In the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

Now, to start with part a, which corresponds to a combination because the order here is not important. Thus

 n = 10

r = 2

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

There are 45 possible scenarios.

Part b, would also be a combination, defined as follows

n = 10

r <= 3

Therefore, several cases must be made:

C (10, 0) = 10! / 0! * (10-0)! = 10! / (0! * 10!) = 1

C (10, 1) = 10! / 1! * (10-1)! = 10! / (1! * 9!) = 10

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

C (10, 3) = 10! / 3! * (10-3)! = 10! / (2! * 7!) = 120

The sum of all these scenarios would give us the number of possible total scenarios:

1 + 10 + 45 + 120 = 176 possible total scenarios.

part c, also corresponds to a combination, and to be equal it must be divided by two since the coin is thrown 10 times, it would be 10/2 = 5, that is our r = 5

Knowing this, the combination formula is applied:

C (10, 5) = 10! / 5! * (10-5)! = 10! / (2! * 5!) = 252

252 possible scenarios to be the same amount of heads and tails.

6 0
3 years ago
Which best describes the scatter plot
Nookie1986 [14]
D positive; non linear
7 0
3 years ago
Read 2 more answers
Other questions:
  • QUESTION 12 PLZ HELP ASAP
    12·1 answer
  • Please answer as fast as possible thanks
    10·1 answer
  • A gymnastics center charges a one-time membership fee of $35.75. In addition, the center charges its members $55.50 per class. W
    6·2 answers
  • during a track meet Calvin drinks drinks 0.6 liter of water. Melinda drinks 0.8 times as much water as Calvin during the track m
    7·1 answer
  • Factor the equation.<br><br> X2-15x+50=0
    11·2 answers
  • Does 0.15&gt;0.105 yes or no
    6·1 answer
  • Explanation needed
    13·1 answer
  • Help me please༼ つ ◕_◕ ༽つ<br><br> The value of x is ___, and the value of y is ___.
    14·2 answers
  • (1/2+2/3)÷2 5/6×15-3 1/7​
    7·1 answer
  • Sixth grade
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!