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3 years ago

A coin is tossed 5 times in a row. What is the size of the sample space of this experiment?

Mathematics

2 answers:

In-s [12.5K]3 years ago

4 0

5*5=25 so it should be 25

DerKrebs [107]3 years ago

4 0

<span>five times in a row, you know the jist
2x2x2x2x2 = 32</span>

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a hiking trail is 20 kilometers long. park organizers want to build 5 rest stops for hikers with one on each end of the trail an

ICE Princess25 [194]

The distance that will separate each rest stop is 4 kilometers.

<h3>What is the distance?</h3>

Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

The distance = length of the trail / number of rest stops

20 km / 5 = 4km

To learn more about division, please check: brainly.com/question/13281206

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2 years ago

Simplify the expression<br><br> 5(2w+3)+6w

maria [59]

You have distribute the 5 into the 2 which is 10w +15 +30w.

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3 years ago

Read 2 more answers

What are two subsets of real numbers that form the set of real numbers

Ulleksa [173]

Answer:

Two subsets that form set of real numbers

You can take positive numbers and negative numbers subset

One subset become (- infinity,0]

other subset (0, infinity)

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3 years ago

Probability is a measure of how likely an event is to occur. write the probability of the following statements:

attashe74 [19]

Step-by-step explanation:

This is a probability related question, let the event be E

We know that the likelihood of an event happening is given as

Pr(E)=1

if an event will not occur the probability is

Pr(E)=0

a. This event is impossible: Pr(E)=0

b.This event will occur more often than not, but is not extremely likely:

Pr(E)=0<E>0.5

c.This event is extremely unlikely, but it will occur once in a while in a long sequence of trials:

Pr(E)=0<E<0.5

d.This event will occur for sure: Pr(E)=0

7 0

3 years ago

Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask

Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

$P(x=r)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

$P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}$

$=56(0.4)^5 (0.6)^3$

$=0.12386304$

(b) the probability of the number that say they would feel secure is more than five

$P(X>5) = P(X=6)+ P(X=7) + P(X=8)$

$=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}$

$=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8$

$=0.04980736$

(c) the probability of the number that say they would feel secure is at most five

$P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)$

$=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}$

$=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3$

$=0.95019264$

8 0

3 years ago