0.35 a A' b Find the value of d. C 3d 2d + 0.3 The probability of both A and B occurring is 0.315 Find the value of b and write down the value of c. B В' B The tree diagram above shows the probabilities of two events A and Write down the value of a. B'

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

can you answer the question fully

0.35
C
B'
B
3d
a
A'
2d + 0.3
B'
The tree diagram above shows the probabilities of two events A and B.
i Write down the value of a.
i. The probability of both A and B occurring is 0.315
Find the value of b and write down the value of c.
ii. Find the value of d.
Transcribed Image Text:0.35 C B' B 3d a A' 2d + 0.3 B' The tree diagram above shows the probabilities of two events A and B. i Write down the value of a. i. The probability of both A and B occurring is 0.315 Find the value of b and write down the value of c. ii. Find the value of d.
a)
An arithmetic series has common difference 8 and the sum of the first
98 terms is 5390.
i.
Find the first term.
ii. Explain why 100 is not a term in this series.
b)
Another series is defined by
2048 (0.5)"
n=1
i.
Write down the first four terms.
The sum of the series is 2047.5
ii. Find the value of k.
iii. If this series continues indefinitely, find the sum to infinity.
c) The coefficient of the x term in the expansion of (5 + kx)* is 20 times larger
than the coefficient of the x* term.
Find the value of k.
Transcribed Image Text:a) An arithmetic series has common difference 8 and the sum of the first 98 terms is 5390. i. Find the first term. ii. Explain why 100 is not a term in this series. b) Another series is defined by 2048 (0.5)" n=1 i. Write down the first four terms. The sum of the series is 2047.5 ii. Find the value of k. iii. If this series continues indefinitely, find the sum to infinity. c) The coefficient of the x term in the expansion of (5 + kx)* is 20 times larger than the coefficient of the x* term. Find the value of k.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON