3 years ago

Jacob deposited $75 into his banking account on Tuesday. What integer represents his account on Tuesday?

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

6 0

Positive 75 I believe

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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:

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

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

$P(x \le 3) = 0.2352$

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