School band consists of 45 boys and 50 girls.of the total number of boys

Feliz [49]

Measurement DBA must equal less than the sum of measurements 3 and 2

8 0

3 years ago

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

2 years ago

Help please help please help please

user100 [1]

Answer:

Once upon a time, there were a two person family who lived out in the woods. The father took great care of the son. The father was a Botany, but had retired because of his age. But still he loved plants and grew a garden. The garden included Giant Bird of Paradise, Carnations, Irises, and ofc roses. He loved plants so much that he went out to dig a hole and plant different flowers and plants every spring. When the son grew older he helped the father with the garden. Two years later his son was accused of murder, but the body wasn't found. Next spring came and the father went out to dig. He couldn't Finnish it. He called his son and say he couldn't do the garden thing, because of his age. The son said don't dig there that's where he hid the bodies. The police came to dig the holes and try to find the bodies, but none of them were found. The father called the son again, and the son said thats all I can do for you right now.

Step-by-step explanation:

3 0

3 years ago

Converting Explicit formula to Recursive formula.

Kruka [31]

The formula
a(n) = 2 - 5(n-1)
is in the form
a(n) = a1 + d(n-1)

where
a1 = first term = 2
d = -5 = common difference

The first term is carried over to the recursive formula. We start with a1 = 2. The next term after that is found by subtracting 5 from the previous term. So
second term = (first term) - 5
third term = (second term) - 5
and so on

The recursive step would be
a(n) = a(n-1)-5

So that's why the answer is choice C

8 0

3 years ago

Joseph and Hanna are 250 feet apart when they start walking toward one another. They are walking at the same speed, so whenever

Evgen [1.6K]

I dont know the answer

4 0

3 years ago