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nekit [7.7K]
3 years ago
15

Calcule:

Mathematics
1 answer:
fgiga [73]3 years ago
5 0
E and f were a little complicated.

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Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
Vinvika [58]

Answer:

40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

0.95 probaiblity of hitting a target

This means that p = 0.95

10 targets

This means that n = 10

What is the probability that he will miss at least one of them?

Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

P(X = 10) + P(X < 10) = 1

We want P(X < 10). So

P(X < 10) = 1 - P(X = 10)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987

P(X < 10) = 1 - P(X = 10) = 1 - 0.5987 = 0.401

40.1% probability that he will miss at least one of them

7 0
3 years ago
IF TWO ANGLES ARE CONSECUTIVE EXTERIOR ANGLES AND &lt;1=59, WHAT IS THE MEASURE OF &lt;2?
lutik1710 [3]

Answer:

<2 = 121

Step-by-step explanation:

Consecutive exterior angles add up to 180 degrees.

6 0
3 years ago
7m+9, for m=2.<br> What's the value of this equation
Vinil7 [7]

Answer:

replace m with 2 and do 7(2)+9

5 0
3 years ago
Find the distance between the two endpoints.<br> (-6, 1) and (-3, 1)
AleksAgata [21]

Answer:

3

Step-by-step explanation:

distance formula

3 0
3 years ago
Please help me with this
Galina-37 [17]
1 1/8 square feet

1 4/5 • 1 5/8 = 9/8
9/8 reduces to 1 1/8

I hope this helps you :)
3 0
2 years ago
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