# Question: Assume that the background noise X of a digital signal

Assume that the background noise X of a digital signal has a normal distribution with μ = 0 volts and σ = 0.5 volt. If we observe n = 100 independent measurements of this noise, what is the probability that at least 7 of them exceed 0.98 in absolute value?

(a) Use the Poisson distribution to approximate this probability.

(b) Use the normal distribution to approximate this probability.

(c) Use the binomial distribution to approximate this probability

(a) Use the Poisson distribution to approximate this probability.

(b) Use the normal distribution to approximate this probability.

(c) Use the binomial distribution to approximate this probability

## Answer to relevant Questions

Suppose that among gifted seventh-graders who score very high on a mathematics exam, approximately 20% are left-handed or ambidextrous. Let X equal the number of left-handed or ambidextrous students among a random sample of ...If the distribution of Y is b(n, 0.5), give a lower bound for P(|Y/n − 0.5| < 0.08) when (a) n = 100. (b) n = 500. (c) n = 1000. A small part for an automobile rearview mirror was produced on two different punch presses. In order to describe the distribution of the weights of those parts, a random sample was selected, and each piece was weighed in ...Let X equal the forced vital capacity (the volume of air a person can expel from his or her lungs) of a male freshman. Seventeen observations of X, which have been ordered, are (a) Find the median, the first quartile, and ...A random sample X1, X2, ... , Xn of size n is taken from N( μ, σ2), where the variance θ = σ2 is such that 0 < θ < ∞ and μ is a known real number. Show that the maximum likelihood estimator for θ is and that this ...Post your question