1) Observe o gráfico de setores ao lado: a) Calcule o ângulo central correspondente aos setore circulares de Futebol, Vôlei e Basquete. b) Se o ângulo central correspondente a "Outros" é igual a 18 quantos \% dos alunos responderam que preferem Natação? c) Se ao todo há 40 alunos no \( 7^{\circ} \) ano, calcule a quantidade de alunos por esporte: \( \frac{x+40}{00} \)

A study of 12,000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute. Choose a student at random from this group and call his time for the mile \( Y \). What is \( P(Y<6) \) ? Interpret this value. \( P(Y<6)=0.0668 \). There is about a \( 6.68 \% \) chance that the population mean is less than 6 minutes. \( P(Y<6)=0.9332 \). There is about a \( 93.32 \% \) chance that this student will run the mile in under 6 minutes. \( P(Y<6)=0.774 \). There is about a \( 77.4 \% \) chance that this student will run the mile in under 6 minutes. \( P(Y<6)=0.9332 \). There is about a \( 93.32 \% \) chance that the population mean is less than 6 minutes. \( P(Y<6)=0.0668 \). There is about a \( 6.68 \% \) chance that this student will run the mile in under 6 minutes.

From the following scenarios, choose which will likely have a negative correlation. Answer 2 Points \[ \begin{array}{l}\text { The number of parties attended per month by college students and their first-semester grades } \\ \text { The number of minutes spent on social media sites by students and their first-year GPA } \\ \text { The number of hours spent studying per week by students and their first-year GPA } \\ \text { The a dog and their daily food intake }\end{array} \]

The length of human pregnancies is approximately nermal with mean \( \mu=206 \) days and standard deviation \( a=16 \) days. Complete parts (a) through (f). (a) What is the probability that a randomly selected pregnancy lasts less than 262 days? The probability that a randomly selected pregnaney lasts less than 262 days is approximately 0.4013 , (Round to four decimal places as needed.) Interpret this probability. Select the correct choice and fill in the answer bex within your choice. (Round to the nearest integer as needed.) A. If 100 pregnant individuals were selected independently from this population, we would expect \( \square \) pregnancies to last less than 262 days. B. If 100 pregnant individuals were selected independently from this population, we would expect \( \square \) pregnancies to last exactly 262 days.

(b) Suppose a random sample of 51 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of \( \overline{\mathrm{x}} \) is \( \square \) with \( \mu_{\bar{x}}=\square \) and \( \sigma_{\overline{\mathrm{x}}}=\square \). (Round to four decimal places as needed.)

Find the median of the following data set. Assume the data set is a sample. \[ 38,51,34,40,44,41,41,47,46,46,45 \]