Statistics and Probability Answers

What is the probability that it is either blue or orange

 A robot-controlled joystick may be helpful for many disabled people as electric  wheelchairs are difficult to maneuver for many disabled people. From a certain location in  a room, a wheelchair user will either (1) turn sharply to the left and navigate through a  door, (2) proceed straight to the other side of the room, or (3) turn slightly right and stop at  a table. Denote these three events as D (for door), S (for other side of the room), and T (for  table). Based on the previous trips, P(D) = 0.5, P(S) = 0.2, P(T) = 0.3. The wheelchair is  installed with a robot-controlled joystick. When the user intends to go through the door, he  points the joystick straight 30% of the time; when the user intends to go straight, he points  the joystick straight 40% of the time; and, when the user intends to go to the table, he points  the joystick straight 5% of the time. If the wheelchair user points the joystick straight, what  is her most likely destination?

In a game show, a player is asked questions one after another until they get 

one wrong, after which it is the next player’s turn. The probability that they 

get a question correct is 0.7, independent of any other question. Find the probability that the first two players are asked a total of five 

questions.

A factory produces pistons for cars machine one produces 287 satisfactory pistons and 123 unsatisfactory pistons machine to produces 208 satisfactory pistons and 192 unsatisfactory pistons what is the probability that the Pistons chosen for machine one is unsatisfactory and the piston chosen from machine to a satisfactory

For a sample size of 100 people, what is the margin of error that 53% of consumers will vote “yes” on a new product line from Company A to Z?

the histogram shows the distribution of the ambulance response times for 250 emergency calls in a city. the ambulance response had a normal mean of 9.3 minutes and a standard deviation of 2.9. If a is the response time of an ambulance, which range of response times include the times of the ambulance that are within 1.5 standard deviations of the mean? round your answer to the nearest whole number

What is another name for the dependent variable?

1. Explanatory variable

2. Response variable

3. Vertical variable

4. Options 1 and 2.

5. None of the above. 

Which option represents the independent variable?

1. y

2. xy

3. Options 1 and 2.

4. x

5. None of the above 

The 9 teachers in the Math Department are required to pick a random team out of 30 major league teams to cheer for in the next baseball season. What is the probability that at least two of the teachers have picked the same team?