In: Statistics and Probability
A bag of 28 tulip buds contains 11 red tulip buds, 11 yellow tulip buds, and 6 purple tulip buds
(a) What is the probability that two randomly selected tulip bulbs are both red? Round answer to three decimal places
(b) What is the probability that the first bulb selected is red and the second yellow? Round answer to three decimal places
(c) What is the probability that the first bulb selected is yellow and the second red? Round answer to three decimal places
(d) What is the probability that one bulb is red and the other yellow? Round answer to three decimal places
Thank you! :)
In: Statistics and Probability
An investor buys 1 share of ABC Ltd at the price of $32 on December 1, 2019. The firm is not expected to pay any dividends. Consider the following three possible scenarios for the share price on December 1, 2020: $50 with a probability of 20% $34 with a probability of 50% $27 with a probability of 15% $20 with a probability of 15% a) Calculate the expected return for holding the share for a year. b) Calculate the variance of return and standard deviation of return. c) Explain the concept of diversification. Explain the benefit of diversification and how it works. d) “The standard deviation of a portfolio's return can be reduced to zero by holding all the securities in the market.” True or false? Explain.
In: Finance
An investor buys 1 share of ABC Ltd at the price of $32 on December 1, 2019. The firm is not expected to pay any dividends. Consider the following three possible scenarios for the share price on December 1, 2020: $50 with a probability of 20% $34 with a probability of 50% $27 with a probability of 15% $20 with a probability of 15% a) Calculate the expected return for holding the share for a year. b) Calculate the variance of return and standard deviation of return. c) Explain the concept of diversification. Explain the benefit of diversification and how it works. d) “The standard deviation of a portfolio's return can be reduced to zero by holding all the securities in the market.” True or false? Explain.
In: Finance
An investor buys 1 share of ABC Ltd at the price of $32 on December 1, 2019. The firm is not expected to pay any dividends. Consider the following three possible scenarios for the share price on December 1, 2020:
$50 with a probability of 20%
$34 with a probability of 50%
$27 with a probability of 15%
$20 with a probability of 15%
a) Calculate the expected return for holding the share for a year.
b) Calculate the variance of return and standard deviation of return.
c) Explain the concept of diversification. Explain the benefit of diversification and how it works.
d) “The standard deviation of a portfolio's return can be reduced to zero by holding all the securities in the market.” True or false? Explain.
In: Finance
A haulage firm has 24 lorries, 15 of these are articulated
i) What is the probability that 3 randomly selected lorries are articulated ?
ii) what is the probability that no articulated lorries would be chosen if 4 lorries were randomly selected?
iii) what is the probability that more than 3 articulated lorries would be chosen if 6 were randomly selected?
Q) If holes drilled in a metal plate have a normal distribution with a mean diameter of 16.4mm and a standard deviation of 0.8mm, and a set of bolts have a normal distribution with a mean diameter of 16mm and a standard deviation of 0.5mm, what is the probability of randomly selected bolt fitting a randomly selected hole?
In: Statistics and Probability
Please provide
Definitions, some explanation along with example for each
topic
(Note: please provide all data in text format pdf/text so i can
copy into MsWord because i have to submit my assignment in printed
form)
1)Random experiment
2)properties of random experiment
3)sample space
4)event
5)simple event
6)compound event
7)equally likely event
8)mutually exhaustive probability
9)classical or priori probability
10)relative frequency or posterior prob.
11)Axiamatic probability
12) Properties of probability
In: Statistics and Probability
Boys and Girls: Suppose a couple plans to have two children and the probability of having a girl is 0.50.
(a) What is the sample space for the gender outcomes?
{bb, bg, gg}
{b,g}
{bb, bg, gb, gg}
{bb, gg}
(b) What is the probability that the couple has one boy and one
girl?
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| 1 |
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| 1 |
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(c) What is the probability that the couple will have at least one
girl?
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| 4 |
| 1 |
| 3 |
| 3 |
| 4 |
| 1 |
| 2 |
(d) What is the probability that the couple will have no girls?
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 4 |
| 3 |
| 4 |
In: Statistics and Probability
In an exclusive suburb of Chicago, 55% of the families are members of the golf course, 40% are members of the tennis club, and 15% are members of both the golf course and tennis club.
In: Statistics and Probability
1. Suppose we are forming committees within the US Senate. We know there are 100 members and currently there are 48 Democrats and 52 Republicans. Use this information to answer the following. Step 1 of 6: How many committees of 10 Senators can be formed? Round to the nearest million.
what is the probability that a random commitee will contain all democrats?
what is the probability that a random commitee will contain all republicans?
What is the probability that a random committee will contain exactly half Democrats and half Republicans
Interpret your probability from the previous step.
Using your previous answers, which, if any of the committees discussed would be unusual?
In: Math