1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a thorough medical screening before they are allowed to race again. A certain performer has an independent .04 probability of a crash in each race. a) What is the probability she will have her first crash within the first 30 races she runs this season

Answers

Answer 1

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used 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.

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

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A certain performer has an independent .04 probability of a crash in each race.

This means that [tex]p = 0.04[/tex]

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

When [tex]n = 30[/tex]

We have that:

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

[tex]P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061[/tex]

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season


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Answers

Answer:

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Step-by-step explanation:

To find the slope of an equation, we first convert the equation into Slope-Intercept Form: y = mx + b, where m is the slope, and b is the y- intercept.

=================================================================

Add 2x to both sides. [Addition Property of Equality]

-2x - 5y = 10

+2x         +2x

-------------------

-5y = 2x - 10

Divide -5 on both sides. [Division Property of Equality]

-5y/-5 = 2x/-5 - 10/-5

y = -2/5 x + 2

Comparing to y = mx + b form, we see that our m value, or slope is -2/5

--------------------------------------------------------------------------------------------------------------

m= -2/5

=================================================================

Hope I Helped, have a fantastic day!

                  -Aadi x

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Answer:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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whyu

Step-by-step explanation:

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Answers

Answer:

Alice has 135 cents, or $1.35.

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

hi Step-by-step explanation:April 12, 1861: Battle of Fort Sumter. ...

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January 19, 1862: Battle of Mill Springs.

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Find the missing side x=

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Answers

Answer:

Step-by-step explanation:

Verify a - (- b) = a + b for the following values of a and b.
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Answers

23 - (-14) = 23 + 14 = 37

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Solve the system by Graphing

Answers

Step-by-step explanation:

The skating rink charges $0.75 to rent skates and $1.25 per hour to skate. Which equation
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Answers

Answer:

C.

It can be read as...

".75 was charged for skates, and 1.25 was charged per hour for a total of 4.50."

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

2 : 5

Step-by-step explanation:

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Answers

Answer:

[tex]\frac{1}{10}[/tex]

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Answers

Answer:

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Interval Notation:

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Answer:

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(
5
,

1
)
(
5
,
-
1
)
with vertex
(

3
,
5
)
(
-
3
,
5
)
using the vertex form
y
=
a
(
x

h
)
2
+
k
y
=
a
(
x
-
h
)
2
+
k
.
Standard Form:
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=

3
32
x
2

9
16
x
+
133
32
y
=
-
3
32
x
2
-
9
16
x
+
133
32
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=

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32
(
x
+
3
)
2
+
5
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3
32
(
x
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3
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2
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Answer:

∠QPT=122°

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60+∠QPR+62=180

∠QPR+122=180

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Answers

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Answers

Answer:

x(x+1) = 12

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