Table 3 – Comparison of Observed vs Theoretical Results Sum on two dice Observed (Empirical) Relative Frequency Theoretical Probability (Relative Frequency) Difference Observed - Theoretical 2 0.01 0.028 -0.018 3 0.04 0.056 -0.016 4 0.08 0.083 -0.003 5 0.13 0.111 0.019 6 0.09 0.139 -0.049 7 0.14 0.167 -0.027 8 0.21 0.139 0.071 9 0.14 0.111 0.029 10 0.14 0.083 0.057 11 0.01 0.056 -0.046 12 0.01 0.028 -0.018   Answer the following questions: Compare the observed relative frequencies to the theoretical probabilities. In a few sentences describe what you see. (Things to discuss: are the observed values close to the theoretical ones or not – where are they close and where not – do they follow a similar pattern – did you expect a better fit or a worse fit or this about what you expected to see? Is there anything else important that you see?)

Question * Measurements for the length and width of a rectangular plastic covers for CDs are rounded to the nearest mm (so they are discrete). Let X denote the length and Y denote the width. The possible values of X are 129, 130, and 131 mm. The possible values of Y are 15 and 16 mm. The joint distribution is given by the following table: X-length 129 130 131 Y=width 15 0.12 0 42 006 16 0.08 0.28 0011 The probability that a CD cover has length of 129 mm knowing that it has a widtlh of 16 mim is 0.2 0.08 0.4 O 0.13

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Tire lifetimes: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean µ= 39 and standard deviation o = 4. Use the TI-84 Plus calculator to answer the following. (a) What is the probability that a randomly chosen tire has a lifetime greater than 47 thousand miles? (b) What proportion of tires have lifetimes between 35 and 43 thousand miles? (c) What proportion of tires have lifetimes less than 44 thousand miles? Round the answers to at least four decimal places. Part: 0 / 3 Part 1 of 3 The probability that a randomly chosen tire has a lifetime greater than 47 thousand miles is Submit Assignment Next Part © 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy 85 F ch

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Homework: Homework 8.5 - Probability Distribution; Expected Score: 0 of 1 pt 1 of 6 (0 complete) HW Score: 0%, 0 8.5.19 Question Hel Suppose three balls are drawn (with replacement) from a bag that contains 6 white balls and 2 blue balls. The number of blue balls is counted Complete parts (a (b) below. (a) Dotermine the histogram for the number of blue balls in the sample. Choose the correct histogram below A. O D. Px) P(x) 0.5 0 1 2 3 (b) What is the expected number of blue balls in the sample? (Round to two decimal places as needed ) Enter your answer in the answer box and then click Check Answer Clear All Chack Answer

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Question 3 What is the answer to part (iv) Flaws occur at random along the length of a thin copper wire. Assume that the number of flaws follow a Poisson distribution with a mean of 2.3 flaws per millimetre. (i) Determine the probability of exactly 3 flaws in 1 millimetre of wire. ii) Determine the probability of 10 flaws in 5 millimetres of wire. iii) Determine the probability of at least 2 flaws in 2 millimetres of wire. (iv) What is the expectation and standard deviation for the aforementioned distribution?

13. Statistic- 10% of all people are over 6’. I met a woman who is over 6’. Then, I met her daughter who I was surprised to see is also is also over 6’! The odds of meeting a mother-daughter pair like that is 1%. Group of answer choices Correlation does not imply causation Variables aren’t independent (A|B =/= B|A) Highly improbable events tend to get famous There will likely be a self-reporting bias Terrible Survey Design: Biased question Terrible Survey Design: Sampling technique Terrible Survey Design: Small sample size

': Consider a puzzle is created where the amount of time it takes an individual to solve the puzzle follows a normal distribution with a standard deviation of 2 minutes. a) If a sample of 13 individuals was collected, what is the probability the sample mean time required to solve the puzzle would be within 1.2 minutes of the population mean? b) What would the required sample size be if we wanted the sample mean to be within half a minute of the population mean with a probability of .9?