The random variable B is normally distributed with mean zero and unit variance. Find the probability that the quadratic equation X2 + 2BX +1= 0 has real roots. Given that the two roots X1 and X2 are real, find, giving your answers to three significant figures: (i) the probability that both X1 and X2 are greater than ; (ii) the expected value of |X1 + X2.

Need help with questiones D E F please

For part a and b, explain what is wrong with the statement. Зx +1 a. 2x dx = §*+* + C %3D 2. n+1 b. For all n, S x" dx = + C %3D n+1

Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Correlation Results Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of a =0.05. Correlation coeff, r: 0.966175 Critical r: ±0.2680855 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. H1: p (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r= O B. There are two critical values at r= + Is there sufficient evidence to support the claim…