Search & Filtering
There were ten red bottles sitting on the wall. The probability of a red bottle accidentally falling is 0.95. What is the probability that fewer than 8 of the green bottles accidentally fall?
5. QUESTION:
You consult Joe the bookie as to the form in the 2.30 at Ayr. He tells you that, of 16 runners, the favourite has probability 0.3 of winning, two other horses each have probability 0.20 of winning, and the remainder each have probability 0.05 of winning, excepting Desert Pansy, which has a worse than no chance of winning. What do you think of Joe’s advice?
4. QUESTION:
M&M sweets are of varying colours and the different colours occur in different proportions. The table below gives the probability that a randomly chosen M&M has each colour, but the value for tan candies is missing.
Colour Brown Red Yellow Green Orange Tan
Probability 0.3 0.2 0.2 0.1 0.1 ?
(a) What value must the missing probability be?
(b) You draw an M&M at random from a packet. What is the probability of each of the following events?
i. You get a brown one or a red one.
ii. You don’t get a yellow one.
iii. You don’t get either an orange one or a tan one.
iv. You get one that is brown or red or yellow or green or orange or tan.
3. QUESTION:
A bag contains fifteen balls distinguishable only by their colours; ten are blue and five are red. I reach into the bag with both hands and pull out two balls (one with each hand) and record their colours.
(a) What is the random phenomenon?
(b) What is the sample space?
(c) Express the event that the ball in my left hand is red as a subset of the sample space.
2. QUESTION:
A fair coin is tossed, and a fair die is thrown. Write down sample spaces for
(a) the toss of the coin;
(b) the throw of the die;
(c) the combination of these experiments.
Let A be the event that a head is tossed, and B be the event that an odd number is thrown. Directly from the sample space, calculate P(A ∩ B) and P(A ∪ B).
1. QUESTION:
Describe the sample space and all 16 events for a trial in which two coins are thrown and each shows either a head or a tail.
2.2. Solve the ivp sin(x) dx + y dy = 0, where y(0)
2.1. Solve 2xy + 6x + (x^2 - 4)y'=0
Problem: The program will determine the gross wages of each employee type, salaried and hourly, and output the total gross wages to be paid for each employee type.
Prompt the user to enter the number of employee wages to be calculated.
1.The program will end when the data for all the employees has been entered.
2. For each employee, indicate if the employee is salaried or paid hourly.
3. Define and implement functions for the following:
a) If the employee is salaried, enter the annual salary. The gross for that employee will be determined by dividing the annual salary by 24. Add the result to the total salaried wage. b) If the employee is paid hourly, enter hours worked (40 ≥ hours ≥ 0) and rate per hour. The gross for that employee is determined by multiplying hours worked by rate per hour. Add the result to the total hourly wages.
4. After performing the calculations for each employee, display the total wages for salaried employees, total wages for hourly employees, and total gross wages.
A drug company is testing a drug intended to increase heart rate. A sample of 100 yielded a mean increase of 1.4 beats per minute, with a population standard deviation known to be 3.6. Since the company wants to avoid marketing an ineffective drug, it proposes a 0.001 significance level.
