Coursera
online course Basic Statistics week three and Quiz three answers are
given here get 100% marks.

Probability

15 questions

1.

Your friend told you about someone really
smart who made a good deal with the bank regarding his/her mortgage and who
knows everything about the financial crisis that started in 2008. Which of the
following statements is more likely?

**Statement I is more likely.**

2.

You roll a dice five times. The outcomes are:
6 6 6 6 6. Then you repeat this and you find: 1 4 3 5 2.

Which of the following outcomes is most
likely?

**Both outcomes are equally likely**

3.

Imagine you're at the beach. You're really
thirsty and decide to go to a beach stand to get some coke. When you arrive you
see there's a queue consisting of two girls and one boy. Unfortunately the
stand has only one coke left. You've learned that three in ten girls drink coke
and 60 percent of boys drink coke.

How likely is it that you will get the coke?

**0.196**

4.

You ask a couple of people at the beach what
they think about the seagulls. You propose them the statement: Seagulls are
annoying. Their responses are as follows:

20% strongly agree

13% agree

12% neutral

50% disagree

5% strongly disagree

What is the chance of a random person
responding with 'agree' given that he/she is not neutral?

**0.15**

5.

Imagine you ask some students which subject
they prefer: statistics or English. There are a lot of people that love
statistics (B) and a lot of people that love English (C). However, there are
also people that can't make a decision and tell you that they like both the
subjects (D). When you look further into the results you realise that all the
female students had a positive opinion about statistics (A).

Which of these events (A, B, C, D) are
disjoint?

**A and C & A and D**

6.

You collect four shells from the beach. You
know that there are only three types of shells on the beach, and these shells
occur in equal amounts. How many different events are possible?

**81**

7.

Twenty people take a statistics exam. Jonas
scored five out of ten and Emma scored eight out of ten. Every score (1 to 10)
is equally likely. What is the chance of a random person out of the people that
took the exam scoring higher than Jonas, but lower than Emma?

**0.2**

8.

How can we define probability or chance?

**as a long-run relative frequency**

9.

You are rushing out to get to your appointment
in 30 minutes. From experience you know that most of the time you travel this
distance in 30 minutes. However, half of the time there is heavy traffic. In
the past, there has been heavy traffic and you have made it to your appointment
within 30 minutes 34% of the time.

You get out on the street and see that there
is heavy traffic. What is the chance you will get to your appointment on time?

**0.68**

10.

What is the probability of event A given event
B?

**0.42**

11.

You have a pot with 100 balls. 20 of them are
red, 50 are blue and 30 are green. You decide to draw 5 balls from the pot
without replacement (i.e. you don't put a ball back in the pot once it has been
taken out). What is the probability of drawing five blue balls?

Give your answer to 3 decimal places.

12.

On a single train journey there is a
probability of 0.4 that your ticket will be checked. You make a return-journey,
what is the probability that your ticket will be checked only once?

Give your answer as a proportion, rounding to
two decimal places.

13.

You roll a pair of dice 20 times and record
how often you get a total of 5 or 10. What is your best guess for the relative
frequency that this event (a total of 5 or 10) occurs without seeing the actual
data?

Give your answer as a proportion, rounding to
three decimal places.

14.

The chance that the front light on your bike
will fail is 0.2, the chance that your rear light will fail is 0.1 and the
chance that both will fail is 0.04. What is the chance that both lights will
work? (regardless of the answer you should do something about this situation of
course).

Give your answer as a proportion, rounding to
two decimal places.

15.

Which of the following statements are correct?

I. A discrete random variable can take a
finite number of distinct values.

II. Height is an example of a continuous
random variable.

**Both statements are correct.**

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