2 years ago

A binomial experiment has 4 trials in which p = 0.4. What is the probability of 3 successes?

Mathematics

1 answer:

Kaylis [27]2 years ago

4 0

The probability of 3 successes is 0.0384

<h3>How to determine the probability?</h3>

The given parameters are:

Trials, n = 4
Probability of success, p = 0.4

The binomial probability is represented as:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x$

So, the probability of three successes is:

$P(3) = ^4C_3 * 0.4^3 * (1 - 0.4)^{4 -3$

Evaluate the factors in the expression

$P(3) = ^4C_3 * 0.0384$

Evaluate the combination expression

P(3) = 1 * 0.0384

Evaluate the product

P(3) = 0.0384

Hence, the probability of 3 successes is 0.0384

You might be interested in

What is an equation of the line that passes through the points (0, -1)(0,−1) and (6, 1)(6,1)?

horrorfan [7]

$slope = y2 - y1 \div x2 - x1$

$1 - - 1 \div 6 - 0$

$2 \div 6$

$1 \div 3$

$y = mx + c$

$1 = 1 \div 3 \times 6 + c$

$1 = 2 + c$

$c = 3$

$y = 1 \div 3x + 3$

5 0

3 years ago

there are five people in a room each person shakes the hand of every person exacally once how many handshakes or exchanged

nalin [4]

25 because there's 5 people so you take 5 times 5

5 0

4 years ago

Please help its due tommorrow morning!

LenaWriter [7]

Answer: $324

Step-by-step explanation:

i=prt

i=(6000)(.054)(1)

i=324

4 0

3 years ago

Read 2 more answers

Explain how finding the nth element in a pattern is using deduction

Kryger [21]

I don't know kid I'm busy right now

6 0

3 years ago

D • (-4) = 32 solve for d

RSB [31]

Answer:

d = -8

Step-by-step explanation:

Isolate the variable, d. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides of the equation:

$d * -4 = 32\\\frac{d * -4}{-4} = \frac{32}{-4}\\d = \frac{32}{-4}\\d = -8$

d = -8 is your answer.

7 0

2 years ago

Read 2 more answers