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
Novosadov [1.4K]
3 years ago
13

The height, in inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84. (

a) Calculate the probability that the height of a randomly chosen woman is between 59.8 and 68.2 inches. (b) Given that a randomly chosen woman is tall enough to be an astronaut (i.e., at least 59 inches tall), what is the conditional probability that she is at least 67 inches in height? (c) Four women are chosen at random. Calculate the probability that their total height is at least 260 inches. (d) Suppose that Z ∼ N(0, 1). Prove that E(Z19) = 0.
Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

Step-by-step explanation:

Given that the height in  inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84.

X is N(64, 2.8)

Or Z = \frac{x-64}{2.8}

a)  the probability that the height of a randomly chosen woman is between 59.8 and 68.2 inches.

=P(59.8

b) P(X\geq 59)\\= P(X\geq -1.78)\\ \\=0.9625

c) For 4 women to be height 260 inches is equivalent to

4x will be normal with mean (64*4) and std dev (2.8*4)

4x is N(266, 11.2)

P(4x>260)= \\P(Z\geq -0.53571)\\=0.7054

d) Z is N(0,1)

E(Z19) = P(Z>19)\\= 0.000

since normal distribution is maximum only between 3 std deviations form the mean on either side.

You might be interested in
A child has 4 wooden blocks. How many different ways can she stack 3 of them into a tower?
faltersainse [42]

Answer:

Step-by-step explanation:

To find the number of different ways she can stack 3 of them in a tower, we need to use the formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

n = 4

k = 3

_{n}P_{k}=\dfrac{4!}{(4-3)!}

_{n}P_{k}=\dfrac{4!}{1!}

_{n}P_{k}=\dfrac{4*3*2*1!}{(1)!}

_{n}P_{k}=\dfrac{4*3*2*1!}{1}

_{n}P_{k}=\dfrac{24}{1}

7 0
2 years ago
Mona's math certificate is 10 inches tall and 14 inches wide. Mona wants to put the certificate in a fancy frame that costs $1.0
swat32

Answer:

$48.96

Step-by-step explanation:

Given data

Length= 10inches

Width=14 inches

Let us find the perimeter of the  certificate

P=2L+2W

P= 2*10+2*14

P=20+28

P= 48 inches

Hence if 1 inche cost $1.02

Then 48 inches will cost x

cross multiply we

x= 48*1.02

x= $48.96

Hence it will cost $48.96 to frame the certificate

6 0
3 years ago
Carol bought 12 pounds of bananas for $13.50 and then the next week she bought 20 pounds for $22. Which bunch of bananas was the
DENIUS [597]
The answer is B) 20 lbs for $22 because carol is getting 8 pounds more for only $9+
4 0
2 years ago
In class, Matthew stated, "I think that a negative is like an opposite. That is why multiplying a negative times a negative equa
Black_prince [1.1K]
Two negatives being multiplied DOES equal a positive 
In my response to is that is a correct term to answer. <span />
3 0
3 years ago
Mind helping a random person out with some math
victus00 [196]

Answer:

may be 7 and 8

but not sure.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Samira wants to create a weekly budget. She knows how much she wants to save for a whole year. Which number should she divide th
    11·2 answers
  • Find the greatest common factor. 2x4y2 + 8x2y3 + 4xy4
    7·1 answer
  • Jack bought 4 dozen eggs at $10 per dozen. 6 were broken. what percent of his money goes to waste
    8·1 answer
  • Which answer is the equation of the line represented in function notation?
    7·1 answer
  • Use a property to explain why the product of a multiple of 10 and a number will have a zero in the ones place
    14·1 answer
  • A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).
    10·1 answer
  • Rearrange the formula v= u + at to make a the subject​
    12·2 answers
  • Plot two points that are 8 units from Point B and also share the same x-coordinate as Point B. y​
    12·2 answers
  • An environmentalist tracks the total number of trees y in a park after x years of a planting program. The line of best fit for t
    12·1 answer
  • Hii whats this ill give brainliest
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!