Google it: According to a recent report,

68%

of Internet searches in a particular month used the Google search engine. Assume that a sample of

21

searches is studied. Round the answers to four decimal places.

Part 1 of 4

(a) What is the probability that exactly

18

of them used Google?

Part 2 of 4

(b) What is the probability that

13

or fewer used Google?

Part 3 of 4

(c) What is the probability that more than

18

of them used Google?

Part 4 of 4

(d) Would it be unusual if fewer than

10

used Google?

J.D. Power and Associates says that 70 percent of car buyers now use the Internet for research and price comparisons. (a) Find the probability that in a sample of 7 car buyers, all 7 will use the Internet. (Round your answer to 4 decimal places.) Probability (b) Find the probability that in a sample of 7 car buyers, at least 4 will use the Internet. (Round your answer to 4 decimal places.) Probability (c) Find the probability that in a sample of 7 car buyers, more than 3 will use the Internet. (Round your answer to 4 decimal places.) Probability (d) Find the mean and standard deviation of the probability distribution. (Round your mean value to 2 decimal places and standard deviation to 4 decimal places.) Mean Standard deviation

An experiment is rolling two fair dice and adding the spots together. Find the following probabilities; enter all answers as simplified fractions using the / bar between numerator and denominator, with no extra space

Blank #1: Find the probability of getting a sum of 3.

Blank #2: Find the probability of getting the first die as a 4.

Blank #3: Find the probability of getting a sum of 8.

Blank #4: Find the probability of getting a sum of 3 or sum of 8.

Blank #5: Find the probability of getting a sum of 3 or the first die is a 4.

Blank #6: Find the probability of getting a sum of 8 or the first die is a 4.

Blank #7: Find the probability of not getting a sum of 8.

please make it clear to read and explain how to do it.

According to a recent report, 68% of Internet searches in a particular month used the Google search engine. Assume that a sample of 22 searches is studied. Round the answers to four decimal places.

(a) What is the probability that exactly

19

of them used Google?

Part 2 of 4

(b) What is the probability that

14

or fewer used Google?

Part 3 of 4

(c) What is the probability that more than

19

of them used Google?

Part 4 of 4

(d) Would it be unusual if fewer than

12

used Google?

We know the distribution of potato weights arriving to a potato processing factory follows a normal distribution with mean of 120 grams and standard deviation of 20

1. What is the probability (proportion) of product expected to be less than 100 grams?

2. What is the probability (proportion) of product expected to be more than 135 grams?

3. What is the probability (proportion) of product expected to be less than 90 grams and more than 150 grams?

3 customers a minute arrive at a toll booth

1. What is the probability that 0 customers will arrive in a minute?

2. What is the probability that 1 customer will arrive in a minute?

3. What is the probability that 2 customers will arrive in a minute?

4. What is the probability that 2 or less customers will arrive in a minute?

5.What is the expected value (mean) and variance?

Please summarize or rewrite the following passage in at least 200 words

A display system in which subsequent failures of plant equipment and plant systems are predicted to occur and in which the probability of failure before a specified date and the probability of failure after a specified date is determined and displayed and in which the calendar date is determined and displayed when the desired probability that the equipment not fail prior to the calendar date is specified. The system includes an Equipment Failure And Degradation Module that determines the remaining equipment/system life; a Probability-of-Failure Predictor Module that determines the probability of the equipment/system failing prior to a specified date and the probability of the equipment/system failing after a specified date; and a Date-of-Failure Predictor Module that determines the calendar date that corresponds to a specified probability that equipment not fail prior to the date.

Assume that 15​% of people are​ left-handed. If 6people are selected at​ random, find the probability of each outcome described below.

​a) Find the probability that the first lefty is the sixth person chosen.

​(Round to four decimal places as​ needed.)

​b) Find the probability that there are some lefties among the 6 people.

​(Round to four decimal places as​ needed.)

​c) Find the probability that the first lefty is the fourth or fifth person.

​(Round to four decimal places as​ needed.)

​d) Find the probability that there are exactly 2 lefties in the group.

​(Round to four decimal places as​ needed.)

​e) Find the probability that there are at least 4 lefties in the group.

​(Round to four decimal places as​ needed.)

​f) Find the probability that there are no more than 2 lefties in the group.

​(Round to four decimal places as​ needed.)

3) Consider the following hypothetical data which explores whether educational attainment influences divorce.

3a) State your null and alternative hypotheses.

3b) Use the data above to construct a bivariate table by handwith cells containing the appropriate percentages for each cell.

3c) Using the method of comparing percentage differences, what can you conclude about these data?

3) Consider the following hypothetical data which explores whether educational attainment influences divorce.

3a) State your null and alternative hypotheses.

3b) Use the data above to construct a bivariate table by hand with cells containing the appropriate percentages for each cell.

3c) Using the method of comparing percentage differences, what can you conclude about these data?

Financial institutions, financial markets and financial system 

a) Identify which one of the following securities has the highest nominal annual yield at issuance and which one is the safest investment? Use the key determinants of Nominal Interest Rate to briefly explain why. (4 marks)

20-year treasury bonds 10-year corporate bonds with AAA rating 30 -year corporate bonds with AAA rating 10-year corporate bonds with BB rating 30-year corporate bonds with BB rating 3-month treasury notes

b) Monetary policy is one of the key responsibilities of the Reserve Bank of Australia

i) What is Monetary policy? (1 mark)

ii) If inflation next quarter is predicated to fall to 1% p.a. due to the impact of Covid-19, how would the RBA adjust the official cash rate in response to this situation? Briefly explain the reason for this adjustment (Include in your answer the inflation target of monetary policy, the expected effect of any suggested change in cash rate on consumption, investment and the likely change to net export). (4 marks)

c) As the major authorized deposit-taking institutions (ADIs), Australian banks’ safety and profit level have major impacts in Australian economy.

i) List and define 3 major risks faced by banks (3 marks)

ii) List 3 factors that affect the Interest Rate Margin (IRM) of banks. (3 marks)

iii) Briefly explain how the Covid-19 pandemic would affect the major risks of banks and its potential impact on the IRM of banks (2 marks)

iv) Banks are regulated in terms of capital adequacy. Briefly discuss how this requirement would help banks maintain safety during the Covid-19 pandemic. (3 marks)