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3 years ago

Why did the king's birthday celebration last so long

1 answer:

6 0

Im guessing the question is incomplete or not supposed to be in math section but a logical answer would be: Its the King ;-;

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In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the

Rama09 [41]

Answer:

$P(x \le 3) = 0.2352$

Step-by-step explanation:

Given

$p = 0.35$ --- male committing a crime in an episode

$n = 5$ -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

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

So, the required probability is represented as:

$P(x \ge 3)$

And will be calculated using:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2$

$P(x = 3) = 10 * (0.35)^3 * (0.65)^2$

$P(x = 3) = 0.1811$

$P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}$

$P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1$

$P(x = 4) = 5 * (0.35)^4 * (0.65)$

$P(x = 4) = 0.0488$

$P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}$

$P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0$

$P(x = 5) = 1 * (0.35)^5 * (0.65)^0$

$P(x = 5) = 1 * (0.35)^5 * 1$

$P(x = 5) = 0.0053$

So:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x \le 3) = 0.1811 + 0.0488 + 0.0053$

$P(x \le 3) = 0.2352$

4 0

3 years ago

Find the inner product for (-4,9,8) . (3,2,-2) and state whether the vectors are perpendicular.

drek231 [11]

Answer:

-10; no

Step-by-step explanation:

<h2>-4*3 + 9*2 + 8*-2 = -10</h2><h2></h2><h2>-10 does not equal 0 so it is not perpendicular</h2>

6 0

3 years ago

-20 = -5 - 3x I need help on this

igor_vitrenko [27]

Answer:

x=5

Step-by-step explanation:

add 5 to both sides

-20+5 = -3x

-15=-3x (divide)

x=5

7 0

3 years ago

What is 2 (x + 3) = x - 4

VARVARA [1.3K]

Answer:

x= -10

Step-by-step explanation:

................

6 0

3 years ago

Find the area of the complex figure.

Rzqust [24]

To find the area of this figure, there is two choices
1. cut it into 3 rectangles.
2.find the missing rectangle in the middle......
I likes 2 better $_$ :}

find the missing area in the middle, 12* 23 = 276
the area of the whole figure 31*69-276=1863m²

4 0

3 years ago