Bug: Incorrect Expected value function for continuous random variable

[rummanwaqar]

Kalman-and-Bayesian-Filters-in-Python/03-Gaussians.ipynb

Line 316 in 9e4ac42

"$$\\mathbb E[X] = \\int_{a}^b\\, f(x) \\,dx$$\n",

E[x] = integrate(a->b) f(x) dx
should be
E[x] = integrate(a->b) x f(x) dx

[rummanwaqar]

Kalman-and-Bayesian-Filters-in-Python/03-Gaussians.ipynb

Line 829 in 9e4ac42

"This curve is a [*probability density function*](https://en.wikipedia.org/wiki/Probability_density_function) or *pdf* for short. It shows the relative likelihood for the random variable to take on a value. We can tell from the chart student is somewhat more likely to have a height near 1.8 m than 1.7 m, and far more likely to have a height of 1.9 m vs 1.4 m. Put another way, many students will have a height near 1.8 m, and very few students will have a height of 1.4 m or 1.9 meaters. Finally, notice that the curve is centered over the mean of 1.8 m.\n",

In sentence Put another way, many students will have a height near 1.8 m, and very few students will have a height of 1.4 m or 1.9 meaters.

• Typo in spelling for meters.
• 1.9 should be 2.2