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creativ13 [48]
2 years ago
11

Pleasee help 15 points

Mathematics
1 answer:
Nostrana [21]2 years ago
4 0

Answer:

10

Step-by-step explanation:

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cam hits the bullseye in 8 darts out of 15 throws. what is the experimental probability that came next throws will hit the bulls
Zigmanuir [339]

Answer:

A darts player practices throwing a dart at the bull’s eye on a dart board. Her probability of hitting the bull’s eye for each throw is 0.2.

(a) Find the probability that she is successful for the first time on the third throw:

The number F of unsuccessful throws till the first bull’s eye follows a geometric

distribution with probability of success q = 0.2 and probability of failure p = 0.8.

If the first bull’s eye is on the third throw, there must be two failures:

P(F = 2) = p

2

q = (0.8)2

(0.2) = 0.128.

(b) Find the probability that she will have at least three failures before her first

success.

We want the probability of F ≥ 3. This can be found in two ways:

P(F ≥ 3) = P(F = 3) + P(F = 4) + P(F = 5) + P(F = 6) + . . .

= p

3

q + p

4

q + p

5

q + p

6

q + . . . (geometric series with ratio p)

=

p

3

q

1 − p

=

(0.8)3

(0.2)

1 − 0.8

= (0.8)3 = 0.512.

Alternatively,

P(F ≥ 3) = 1 − (P(F = 0) + P(F = 1) + P(F = 2))

= 1 − (q + pq + p

2

q)

= 1 − (0.2)(1 + 0.8 + (0.8)2

)

= 1 − 0.488 = 0.512.

(c) How many throws on average will fail before she hits bull’s eye?

Since p = 0.8 and q = 0.2, the expected number of failures before the first success

is

E[F] = p

q

=

0.8

0.2

= 4.

7 0
2 years ago
Read 2 more answers
Please help as soon as possible​
zhuklara [117]

Answer:

d, b + b + 3c and 2b + 3c

Step-by-step explanation:

3 0
2 years ago
Given that g(x)=3x - 12, what is the value of x when g(x)=-27?
Lorico [155]

Answer:

x = -5

Step-by-step explanation:

If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12

Solve for x

     -27 = 3x -12, add 12 to both sides

-27+12 = 3x, add -27+12

     -15 = 3x, divide both sides by 3

      -5 = x

4 0
2 years ago
Read 2 more answers
60 miles on 2.5 gallons?
alexdok [17]

60 miles /2.5 gallons  is 24 miles / gallon

7 0
3 years ago
A red ballon starts at 7 meters off the ground and rises at 3 meters per second. A ballon starts at 12 meters off the ground and
GrogVix [38]
Let x be the no. of seconds it takes for the balloons to be at the same height.
7+3x = 12+2x
Deduct both sides by 2x.
7+x = 12
Deduct both sides by 7.
x = 5
Ans: It will take 5 seconds for the balloons to be at the same height.
4 0
3 years ago
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