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- QUESTION 1 Tyre pressures on a certain type of car independently follow a normal distribution with mean 1.9 bars and standard deviation 0.15 bars. (i) Find the probability t'hat all four tyres on a car of this type have pressures between 1.82 bars and 1.92 bars. (ii) Safety regulations state that the pressures must be between 1.9-b bars and 1.9 + b bars. It is known that 80% of tyres are within these safety limits. Find the safety limits.Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places. 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?L9Q1.The following table shows the mode of travel and the probability of risk. Choose the best mode of travel for a safe trip.
- You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest centSolve.Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10
- Task 3. The automobile engine plant delivered a batch of engines to the car assembly plant. 5 engines taken for testing. The probability of each of them to pass the test is 0.95. What is the likelihood that the tests will pass successfully: a) exactly three engines; b) at least three engines; c) all five engines; d) at least one engine?Suppose a weather report indicates that the probability of rain this week is 0.20. This week Next week According to the report, if it rains this week, then the probability of rain next Rain week is 0.33. If it does not rain this week, then the probability of rain next week is 0.17. The tree diagram models this weather report. 0.33 Rain 0.20 Determine the probability that it will not rain for the next two weeks. Express 0.67 No rain your answer as a decimal precise to two decimal places. Rain 0.17 probability = 0.80 No rain 0.83 No rainFor the given pair of events, classify the two events as independent or dependent. Getting caught in traffic Spilling coffee in the car Choose the correct answer below. A. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. B. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. C. The two events are independent because the occurrence of one affects the probability of the occurrence of the other. D. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.
- This subject is statistics. show complete step by step solutionsExperimental or Observational: A group of students is interested in knowing if the number of times they can sink a basketball is related to the color of the basketball. The students shoot a series of baskets and record their success using a regulation colored basketball. They then switch to a blue colored basketball and shoot the same series of baskets. .