6.20 z-score for given probability in tails For a normal TRY distribution, a. Find the z-score for which a total probability of 0.02 falls more than z standard deviations (in either direction) from the mean, that is, below p Zo or above + zo. b. For this z, explain why the probability more than z standard deviations above the mean equals 0.01. c. Explain why +2.330 is the 99th percentile.
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- Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 144 pages if the mean is 186 pages and the standard deviation is 21 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.You want to find the probability of getting a z score less than or equal to 1.2. Which distribution would be the best for calculating this probablityThe age of children in kindergarten on the first day of school is uniformly distributed between 4.95 and 5.87 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.35 and 5.55 years old is e. If such a child is at the 44th percentile; how old is that child? years old. Question Help: Video 1 C Video 2 e Written Example 1 Message instructor Submit Question Jump to Answer 80 こ。 DD F3 F4 F5 F6 F7 FS %23 $ & 1 3 4 7 8. 9 W E R T Y S K C B M つ
- According to a recent study, the mean number of hours college students spent playing video games per month was 20 hours with a population standard deviation of 1.5 hours. Two weeks before final exams were scheduled to begin, 100 college students were randomly selected. What is the probability that the mean number of hours spent playing video games is less than 19.8 hours? Use the z-table below. Round your answer to three decimal places if necessary. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -1.3 0.097 0.095 0.093 0.092 0.090 0.089 0.087 0.085 0.084 0.082 -1.2 0.115 0.113 0.111 0.109 0.107 0.106 0.104 0.102 0.100 0.099 -1.1 0.136 0.133 0.131 0.129 0.127 0.125 0.123 0.121 0.119 0.117 -1.0 0.159 0.156 0.154 0.152 0.149 0.147 0.145 0.142 0.140 0.138 -0.9 0.184 0.181 0.179 0.176 0.174 0.171 0.169 0.166 0.164 0.161 -0.8 0.212 0.209 0.206 0.203 0.201 0.198 0.195 0.192 0.189 0.187 Provide your answer below:The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 12 5 or or b. Find the probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it. Hint: c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.72 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.08 and 5.28 years old is e. If such a child is at the 74th percentile, how old is that child? years old.
- Explain why the t-distribution has less spread as the number of degrees of freedom increases.2. For the following discrete variable with probability f(x) X 1 3 4 5 f(x) 0.2 0.15 2c 0.05 0.15 (a) Determine the value of c Select one: О а. 0.15 O b. 0.225 0.25 O c. none O d. 0.4The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.8 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.38 and 5.58 years old is e. If such a child is at the 40th percentile, how old is that child? years old.
- The age of children in kindergarten on the first day of school is uniformly distributed between 4.77 and 5.95 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.27 and 5.67 years old is e. If such a child is at the 35th percentile, how old is that child? years old. Question Help: D Video 1 D Video 2 Written Example 1 Message instructor Submit Question Jump to Answer M DELOn a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 101 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person's IQ is over 101. Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 7% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places. d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places. Q1: Q3: IQR:← The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 7.8 cm. a. Find the probability that an individual distance is greater than 218.90 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 203.30 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) F7 View an example Get more help - 7 F8 U F9 * 8 S 4 T DELL F10 -!!!/ ( 9 O F11 ) O F12 P Clear all PrtScr 13 { [ + 11 = Check answer 86°F Mostly sunny Insert Delete Backspace 1 2 S Inco P Ca PgUp Num Lock