Question   Probability. Need step solution. Thanks in advance. In a sales campaign, a petrol company gives each motorist who buys their petrol a card with a picture of a film star on it. There are 10 different pictures, one each of 10 different film stars, and any motorist who collects a complete set of all 10 pictures gets a free gift. On any occasion when a motorist buys petrol, the card received is equally likely to carry any one of the 10 pictures in the set. Two of the ten film stars in the set are \( X \) and \( Y \). Find the probability that the first four cards received result in the motorist having (i) all different pictures, (ii) exactly three different pictures, (iii) a picture of \( X \) or of \( Y \) or of both. At a certain stage, the motorist has collected nine of the ten pictures. Find the least value of \( n \) such that \( \mathrm{P} \) (at most \( n \) more cards are needed to complete the set \( )>0.99 \).

The mean and standard deviation for last year's final exam were 69 and 10, respectively.This year, the mean and standard deviation for the final exam are 78 and 13, respectively.If Skylar scored 82 on this year's final exam, what would the comparable grade be from last year's final exam have been?

Assume that in October 2022 the Schmidt Machinery Company (Exhibit 14.1) manufactured and sold 990 units for $705 each. During this month, the company incurred $415,800 total variable costs and $180,400 total fixed costs. The master budget data for the month are as given in Exhibit 14.1. Required: 1. Prepare a flexible budget for the production and sale of 990 units. 2. Compute for October 2022: a. The sales volume variance, in terms of operating income. Indicate whether this variance was favorable or unfavorable. b. The sales volume variance, in terms of contribution margin. Indicate whether this variance was favorable or unfavorable. 3. Compute for October 2022: a. The total flexible budget variance. Indicate whether this variance was favorable or unfavorable. b. The total variable cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. c. The total fixed cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. d. The selling price variance. Indicate whether this variance was favorable or unfavorable. Comparison of Actual and Budgeted Operating Income SCHMIDT MACHINERY COMPANY Analysis of Operating Income For October 2022 (1) Actual Operating Income (2) Master Budget (3) Variances Units 780 1,000 220 U* Sales $ 639,600 100% $ 800,000 100% Variable costs 350,950 55 450,000 56 $ 160,400 U 99,050 F** $ 61,350 U 10,650 U Contribution margin 45% 44% $ 288,650 160,650*** $ 350,000 150,000+ Fixed costs 25 19 Operating income $ 128,000 20% $ 200,000 25% $ 72,000 U *U denotes an unfavorable effect on operating income. **F denotes a favorable effect on operating income. ***Actual fixed factory overhead cost = $130,650; actual fixed selling and administrative costs = $30,000. Budgeted fixed factory overhead cost = $120,000; budgeted fixed selling and administrative costs = $30,000. Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Prepare a flexible budget for the production and sale of 990 units. Units sold ales Fixed costs Variable costs Required 1 Required 2 > Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Compute for October 2022: a. The sales volume variance, in terms of operating income. Indicate whether this variance was favorable or unfavorable. b. The sales volume variance, in terms of contribution margin. Indicate whether this variance was favorable or unfavorable. Show less A Sales Volume Variance Operating income Contribution margin < Required 1 Required 3 > Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Compute for October 2022: a. The total flexible budget variance. Indicate whether this variance was favorable or unfavorable. b. The total variable cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. c. The total fixed cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. d. The selling price variance. Indicate whether this variance was favorable or unfavorable. Show less a. The total flexible budget variance b. The total variable cost flexible budget variance c. The total fixed cost flexible budget variance d. The selling price variance < Required 2 Required 3

then the test is right tailed/ left/ two tailed would suggest the statistic is/ is not significant When conducting a significance test for correlation, if your null and alternative hypothesis are: Ho:p=0 H₁:p>0 Then the test is: Select an answer If we reject the null hypothesis, that would suggest the statistic is significant. Question Help: Message instructor Add Work Submit Question

A uniform magnetic field passes through a horizontal circular wire loop at an angle 18.1° from the normal to the plane of the loop. The magnitude of the magnetic field is 3.35 T, and the radius of the wire loop is 0.280 m. Find the magnetic flux Ø through the loop. Φ = Wb

An investment will pay you $38,000 in 10 years. If the appropriate discount rate is 6.5 percent compounded daily, what is the present value? (Use 365 days a year. Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16) Present value $

Select [a]: True or [b]: False for the following statements. It has been found that cities with more coffee shops have more car accidents; therefore, coffee shops cause poor driving When ice cream sales go up, so do crime rates. A reasonable conclusion is that the increase in ice cream sales causes an increase in the crime rate. Studies have shown that people who eat more fast food are generally more obese than those who do not; therefore, a conclusion is that eating fast food is related to obesity Association does not imply causation. Studies have show that obese people tend to eat more fast food; therefore, a conclusion is that obesity causes a person to eat more fast food a. True b. False