1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
polet [3.4K]
3 years ago
6

Pls help me solve this question . Thank you

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

(i) The probability of failing to qualify on the first two jumps and succeeding on the third is

(1 - 0.8) (1 - 0.8) 0.8 = 0.032

In other words, if X is the random variable representing the first qualifying jump, then X is geometrically distributed and the probability of qualifying for the final round on exactly the n-th jump is

P(X=n) = (1-0.8)^{n-1}\times0.8

(ii) In order to qualify for the final round, David has to succeed on at least one jump. Let Y be the random variable representing how many successful jumps are made. Then Y is binomially distributed with

P(Y = n) = \dbinom3n 0.8^n\times(1-0.8)^{3-n}

The probability of succeeding at least once is

P(Y=1) + P(Y=2) + P(Y=3) \\\\ = \dbinom310.8(1-0.8)^2 + \dbinom320.8^2(1-0.8) + \dbinom33 0.8^3 = \boxed{0.992}

You might be interested in
Ernest is purchasing a $175,000 home and is making 20% down payment toward the cost. He is also buying 2 points in order to lowe
scZoUnD [109]
His total closing costs would be $39775
5 0
3 years ago
Read 2 more answers
(01.01 LC)
Scilla [17]

Answer:

Circle

Explanation:

I just took the test and got it right.

3 0
3 years ago
6.1 in.+3in.+6.9in.+3.1in.=
djyliett [7]
19.1 inches. I hope this helps you!
7 0
3 years ago
Read 2 more answers
The cost of 100 mechanical pencils is $42.60. The cost of 100 colored pencils is $32.60. How much more does one mechanical penci
creativ13 [48]

Answer: 10 cents

Step-by-step explanation:

First find the unit rate of each item.

$42.60 divided by 100= 0.426

$32.60 divided by 100= 0.326

Then find the difference

0.426 minus 0.326= 0.1 or 10 cents.

3 0
3 years ago
Read 2 more answers
What is the product?
zhenek [66]

Answer:

The answer is

negative 12 s squared + 11 s t minus 2 t squared

Step-by-step explanation:

( - 3s + 2t)( 4s - t)

Expand the terms

We have

- 12s² + 3st + 8st - 2t²

Simplify

We have the final answer as

<h3>- 12s² + 11st - 2t²</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
Other questions:
  • The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp
    15·1 answer
  • What is a quotient of 2.5.
    11·1 answer
  • Can anyone offer HELP!
    5·1 answer
  • What is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)
    6·1 answer
  • Please don’t answer this im testing something
    5·2 answers
  • Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
    8·1 answer
  • 2 balls are rolling towards each other from the opposite ends of a straight tube that is
    8·2 answers
  • Can you use a proportion to solve for a missing side length when given two similar triangles?​
    9·1 answer
  • WILL NAME BRAINLIEST-PLEASE DONT ANSWER IF YOU DONT KNOW
    6·2 answers
  • Please help with algebra
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!