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Write a Java program that reads a positive integer and counts the number of digits the number has.
e.g. Input is 14367, Output is 5.
1. Write a program in Java to display a right-angled triangle pattern with numbers, as shown below.
Expected Output :
1
12
123
1234
12345
123456
1234567
12345678
123456789
12345678910
A group of students got the following scores in a test: 6, 9, 12, 15, 18, and 21. Consider samples of size 3 that can be drawn from this population. List all the possible samples and the corresponding mean. Sample Mean
In statistical thinking, why P (-2<z<1) is the same as P (-2≤z≤1)?
Question 2: Discrete Random Variable
The BRIT Sports Bar sells a large quantity of Guinness every Saturday. From past records, the pub has determined the following probabilities for sales:
Number of Crates (X)
P(x)
18-0.15
19-0.10
20-0.32
21-0.05
22-0.13
23-0.25
a. Verify that this [P(x)] is a probability distribution. (2 marks)
b. Find the probability that the number of crates sold will be at least 22. (3 marks)
c. Find the probability that the number of crates sold will be at most 20. (3 marks)
d. What is the expected value for the number of crates sold for any given Saturday?
(4 marks)
e. Calculate the variance of the distribution? (6 marks)
f. Determine the standard deviation of the distribution? (2 marks)
can workout be shown please.
BAT Industries is a manufacturer of orange juice in Jamaica. In 2022 it sold a bottle of orange juice to wholesalers for $100 and its variable costs is $40 and fixed costs is $100,000 monthly:
Using the information provided.
i. How many bottles of orange juice must the company sell in order to break even and what is the breakeven revenue?
ii. If the company sold 1,500,000 bottles of orange juice for the year 2022, what was its profit?
iii. Due to inflation, in 2023 fixed costs are expected to rise to $175,000 monthly. What will be the NEW break-even quantity and revenue?
iiii. If the company will sell the same number of orange juice as it did in 2022 and it wants to make the same profit as in 20222, what price should they sell each bottle of orange Juice for in 2023?
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
5. Compute for the enthalpy, internal energy, and entropy of steam at 72oC and 93%
quality.
.4 If Universal Set U = {90, 91 , 92 , 93 , 94, 95 , 96 , 97 , 98, 99 , 100} (10)
A = {90, 92, 94, 96, 98, 100}, B= {91, 93, 95, 97, 99},
C = {90, 94, 98}
1.4.1 What is (A ∩ C)c 1.4.2 What is (B ∪ C
give steps please
1.3 Using a Truth table, determine the value of the compound proposition
((𝑝 ∨ 𝑞) ∧ (¬𝑝 ∨ 𝑟)) → (𝑞 ∨ 𝑟)
give steps please
