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madam [21]
3 years ago
13

What is the expectation for a binomial distribution with p = 0.5 and n = 8?

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0

Answer: 4

Step-by-step explanation:

Given the following :

P = probability of success = 0.5

n = number of trials = 8

The expected value of a binomial distribution with probability of success P and number of trials n is defined by:

E(n, p) = n * p

Therefore, expected value when P = 0.5 and n = 8

E(8, 0.5) = 8 × 0.5

= 4

The expected value of the binomial distribution is 4

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Helpp me please
Leto [7]

Answer:

  • 9) c, 10) c, 11) a

Step-by-step explanation:

<h3>#9</h3>

Total charge consists of the cost of the  tarpaulin, which is 15x and lay outing cost of Php 150:

  • y = 15x + 150

Correct choice is c.

<h3>#10</h3>

We are interested in the outcome so the brand of PC is not something to concern us.

<u>Excluding the option II, we have one correct choice:</u>

  • c. I, III, and IV only
<h3>#11</h3>

<u>The area based on given dimensions is:</u>

  • A = lw = 8*6 = 48 ft²

<u>The cost of printing is:</u>

  • y = 15*48 = 720

<u>Correct choice is:</u>

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8 0
3 years ago
Travis has a savings account that his parents opened for him. It pays 6% annual interest. His uncle also opened an account for h
mezya [45]
So let's say the amounts are "a" and "b", at 6% and 8% respectively.

how much is 6% of a?  well (6/100) * a, or 0.06a.
how much is 8% of b?  well (8/100) * b, or 0.08b.

so hmm whatever "a" and "b" amounts are, we know that their yield is $100, thus 0.06a + 0.08b = 100.

now, there's more money in "a" than in "b", 500 bucks more, so whatever "b" is, we know that a = b + 500.

\bf \begin{cases}&#10;0.06a+0.08b=100\\&#10;\boxed{a}=b+500\\&#10;----------\\&#10;0.06\left( \boxed{b+500} \right)+0.08b=100&#10;\end{cases}&#10;\\\\\\&#10;0.06b+0.08b+30=100\implies 0.02b=70\implies b=\cfrac{70}{0.02}&#10;\\\\\\&#10;b=3500

how much was deposited in the 6% one?  well, a = b + 500.
8 0
3 years ago
The vertices of the quadrilateral JKLM are J(-2,0), K(-1,2), L(1,3), and M(0,1). Can you use the slopes
qaws [65]

Answer:

A. Yes

B. Yes

C. No

Here's what it would look like:

6 0
3 years ago
Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at most one daughter if she
JulijaS [17]

Answer: 0.3125.

Step-by-step explanation:

  • The chance of having a boy is 0.5,
  • the chance of having a girl is also 0.5.

<u>Outcome 1: all boys</u>

boy  boy  boy  boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 2: first child is a girl, all others are boys</u>

girl   boy   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 3: second child is a girl, all others are boys</u>

boy   girl   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 4: third child is a girl, all others are boys</u>

boy   boy   girl   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 5: fourth child is a girl, all others are boys</u>

boy   boy   boy   girl

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Therefore,

0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125

4 0
2 years ago
Find the values of x and y.
Arlecino [84]

Answer:

C

Step-by-step explanation:

2x + 1 = 85 (Alternate Interior Angles Theorem)

2x = 84

<em>x = 42</em>

(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)

3y + 5 + (85) = 180

3y + 5 = 95

3y = 90

<em>y = 30</em>

7 0
3 years ago
Read 2 more answers
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